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Finding the Fourth Proportional to 521.17, 718.39 and 410.47

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Solution

The fourth proportional to 521.17, 718.39 and 410.47 is: 565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.17 : 718.39 = 410.47 : x
  2. Step 2: Convert to fraction form
    521.17/718.39 = 410.47/x
  3. Step 3: Cross multiply
    521.17x = 718.39 × 410.47
  4. Step 4: Simplify right side
    521.17x = 294,876.52
  5. Step 5: Solve for x
    x = 294,876.52/521.17
  6. Step 6: Final answer
    x = 565.80

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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.