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Finding the Fourth Proportional to 981.53, 1,354.54 and 539.43

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Solution

The fourth proportional to 981.53, 1,354.54 and 539.43 is: 744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.53 : 1,354.54 = 539.43 : x
  2. Step 2: Convert to fraction form
    981.53/1,354.54 = 539.43/x
  3. Step 3: Cross multiply
    981.53x = 1,354.54 × 539.43
  4. Step 4: Simplify right side
    981.53x = 730,684.08
  5. Step 5: Solve for x
    x = 730,684.08/981.53
  6. Step 6: Final answer
    x = 744.43

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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.