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Finding the Fourth Proportional to 697.69, 961.18 and 487.53

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Solution

The fourth proportional to 697.69, 961.18 and 487.53 is: 671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.69 : 961.18 = 487.53 : x
  2. Step 2: Convert to fraction form
    697.69/961.18 = 487.53/x
  3. Step 3: Cross multiply
    697.69x = 961.18 × 487.53
  4. Step 4: Simplify right side
    697.69x = 468,601.86
  5. Step 5: Solve for x
    x = 468,601.86/697.69
  6. Step 6: Final answer
    x = 671.65

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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.