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Finding the Fourth Proportional to 463.32, 691.61 and 408.65

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Solution

The fourth proportional to 463.32, 691.61 and 408.65 is: 609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 691.61 = 408.65 : x
  2. Step 2: Convert to fraction form
    463.32/691.61 = 408.65/x
  3. Step 3: Cross multiply
    463.32x = 691.61 × 408.65
  4. Step 4: Simplify right side
    463.32x = 282,620.93
  5. Step 5: Solve for x
    x = 282,620.93/463.32
  6. Step 6: Final answer
    x = 609.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.