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Finding the Fourth Proportional to 697.48, 961.54 and 530.82

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Solution

The fourth proportional to 697.48, 961.54 and 530.82 is: 731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.48 : 961.54 = 530.82 : x
  2. Step 2: Convert to fraction form
    697.48/961.54 = 530.82/x
  3. Step 3: Cross multiply
    697.48x = 961.54 × 530.82
  4. Step 4: Simplify right side
    697.48x = 510,404.66
  5. Step 5: Solve for x
    x = 510,404.66/697.48
  6. Step 6: Final answer
    x = 731.78

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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.