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Finding the Fourth Proportional to 1,047.94, 1,446.19 and 654.75

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Solution

The fourth proportional to 1,047.94, 1,446.19 and 654.75 is: 903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.94 : 1,446.19 = 654.75 : x
  2. Step 2: Convert to fraction form
    1,047.94/1,446.19 = 654.75/x
  3. Step 3: Cross multiply
    1,047.94x = 1,446.19 × 654.75
  4. Step 4: Simplify right side
    1,047.94x = 946,891.27
  5. Step 5: Solve for x
    x = 946,891.27/1,047.94
  6. Step 6: Final answer
    x = 903.58

Related Problems

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Half scale
Find fourth proportional to 2,095.88, 2,892.38 and 1,309.50
Double scale
Find fourth proportional to 1,048.94, 1,447.57 and 655.75
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.