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Finding the Fourth Proportional to 658.38, 909.18 and 462.36

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Solution

The fourth proportional to 658.38, 909.18 and 462.36 is: 638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.38 : 909.18 = 462.36 : x
  2. Step 2: Convert to fraction form
    658.38/909.18 = 462.36/x
  3. Step 3: Cross multiply
    658.38x = 909.18 × 462.36
  4. Step 4: Simplify right side
    658.38x = 420,368.46
  5. Step 5: Solve for x
    x = 420,368.46/658.38
  6. Step 6: Final answer
    x = 638.49

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Double scale
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1.5x scale

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.