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Finding the Fourth Proportional to 697.48, 966.99 and 658.60

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Solution

The fourth proportional to 697.48, 966.99 and 658.60 is: 913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.48 : 966.99 = 658.60 : x
  2. Step 2: Convert to fraction form
    697.48/966.99 = 658.60/x
  3. Step 3: Cross multiply
    697.48x = 966.99 × 658.60
  4. Step 4: Simplify right side
    697.48x = 636,859.61
  5. Step 5: Solve for x
    x = 636,859.61/697.48
  6. Step 6: Final answer
    x = 913.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.