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Finding the Fourth Proportional to 1,047.82, 1,445.70 and 674.83

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Solution

The fourth proportional to 1,047.82, 1,445.70 and 674.83 is: 931.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.82 : 1,445.70 = 674.83 : x
  2. Step 2: Convert to fraction form
    1,047.82/1,445.70 = 674.83/x
  3. Step 3: Cross multiply
    1,047.82x = 1,445.70 × 674.83
  4. Step 4: Simplify right side
    1,047.82x = 975,601.73
  5. Step 5: Solve for x
    x = 975,601.73/1,047.82
  6. Step 6: Final answer
    x = 931.08

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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.