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Finding the Fourth Proportional to 458.68, 691.36 and 411.72

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Solution

The fourth proportional to 458.68, 691.36 and 411.72 is: 620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.68 : 691.36 = 411.72 : x
  2. Step 2: Convert to fraction form
    458.68/691.36 = 411.72/x
  3. Step 3: Cross multiply
    458.68x = 691.36 × 411.72
  4. Step 4: Simplify right side
    458.68x = 284,646.74
  5. Step 5: Solve for x
    x = 284,646.74/458.68
  6. Step 6: Final answer
    x = 620.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.