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Finding the Fourth Proportional to 462.16, 691.35 and 421.62

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Solution

The fourth proportional to 462.16, 691.35 and 421.62 is: 630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.16 : 691.35 = 421.62 : x
  2. Step 2: Convert to fraction form
    462.16/691.35 = 421.62/x
  3. Step 3: Cross multiply
    462.16x = 691.35 × 421.62
  4. Step 4: Simplify right side
    462.16x = 291,486.99
  5. Step 5: Solve for x
    x = 291,486.99/462.16
  6. Step 6: Final answer
    x = 630.71

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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.