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Finding the Fourth Proportional to 981.97, 1,355.05 and 539.77

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Solution

The fourth proportional to 981.97, 1,355.05 and 539.77 is: 744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.97 : 1,355.05 = 539.77 : x
  2. Step 2: Convert to fraction form
    981.97/1,355.05 = 539.77/x
  3. Step 3: Cross multiply
    981.97x = 1,355.05 × 539.77
  4. Step 4: Simplify right side
    981.97x = 731,412.64
  5. Step 5: Solve for x
    x = 731,412.64/981.97
  6. Step 6: Final answer
    x = 744.85

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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.