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Finding the Fourth Proportional to 1,114.40, 1,538.64 and 694.92

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Solution

The fourth proportional to 1,114.40, 1,538.64 and 694.92 is: 959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.40 : 1,538.64 = 694.92 : x
  2. Step 2: Convert to fraction form
    1,114.40/1,538.64 = 694.92/x
  3. Step 3: Cross multiply
    1,114.40x = 1,538.64 × 694.92
  4. Step 4: Simplify right side
    1,114.40x = 1,069,231.71
  5. Step 5: Solve for x
    x = 1,069,231.71/1,114.40
  6. Step 6: Final answer
    x = 959.47

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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.