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Finding the Fourth Proportional to 736.29, 1,013.73 and 686.61

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Solution

The fourth proportional to 736.29, 1,013.73 and 686.61 is: 945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.29 : 1,013.73 = 686.61 : x
  2. Step 2: Convert to fraction form
    736.29/1,013.73 = 686.61/x
  3. Step 3: Cross multiply
    736.29x = 1,013.73 × 686.61
  4. Step 4: Simplify right side
    736.29x = 696,037.16
  5. Step 5: Solve for x
    x = 696,037.16/736.29
  6. Step 6: Final answer
    x = 945.33

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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.