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Finding the Fourth Proportional to 697.52, 961.08 and 500.69

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Solution

The fourth proportional to 697.52, 961.08 and 500.69 is: 689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.52 : 961.08 = 500.69 : x
  2. Step 2: Convert to fraction form
    697.52/961.08 = 500.69/x
  3. Step 3: Cross multiply
    697.52x = 961.08 × 500.69
  4. Step 4: Simplify right side
    697.52x = 481,198.34
  5. Step 5: Solve for x
    x = 481,198.34/697.52
  6. Step 6: Final answer
    x = 689.88

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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.