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Finding the Fourth Proportional to 736.30, 1,098.25 and 685.27

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Solution

The fourth proportional to 736.30, 1,098.25 and 685.27 is: 1,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.30 : 1,098.25 = 685.27 : x
  2. Step 2: Convert to fraction form
    736.30/1,098.25 = 685.27/x
  3. Step 3: Cross multiply
    736.30x = 1,098.25 × 685.27
  4. Step 4: Simplify right side
    736.30x = 752,597.78
  5. Step 5: Solve for x
    x = 752,597.78/736.30
  6. Step 6: Final answer
    x = 1,022.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.