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Finding the Fourth Proportional to 460.79, 691.15 and 409.89

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Solution

The fourth proportional to 460.79, 691.15 and 409.89 is: 614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.79 : 691.15 = 409.89 : x
  2. Step 2: Convert to fraction form
    460.79/691.15 = 409.89/x
  3. Step 3: Cross multiply
    460.79x = 691.15 × 409.89
  4. Step 4: Simplify right side
    460.79x = 283,295.47
  5. Step 5: Solve for x
    x = 283,295.47/460.79
  6. Step 6: Final answer
    x = 614.80

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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.