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Finding the Fourth Proportional to 697.28, 961.80 and 539.66

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Solution

The fourth proportional to 697.28, 961.80 and 539.66 is: 744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.28 : 961.80 = 539.66 : x
  2. Step 2: Convert to fraction form
    697.28/961.80 = 539.66/x
  3. Step 3: Cross multiply
    697.28x = 961.80 × 539.66
  4. Step 4: Simplify right side
    697.28x = 519,044.99
  5. Step 5: Solve for x
    x = 519,044.99/697.28
  6. Step 6: Final answer
    x = 744.39

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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.