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Finding the Fourth Proportional to 658.62, 985.83 and 463.38

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Solution

The fourth proportional to 658.62, 985.83 and 463.38 is: 693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.62 : 985.83 = 463.38 : x
  2. Step 2: Convert to fraction form
    658.62/985.83 = 463.38/x
  3. Step 3: Cross multiply
    658.62x = 985.83 × 463.38
  4. Step 4: Simplify right side
    658.62x = 456,813.91
  5. Step 5: Solve for x
    x = 456,813.91/658.62
  6. Step 6: Final answer
    x = 693.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.