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Finding the Fourth Proportional to 582.27, 872.33 and 517.47

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Solution

The fourth proportional to 582.27, 872.33 and 517.47 is: 775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.27 : 872.33 = 517.47 : x
  2. Step 2: Convert to fraction form
    582.27/872.33 = 517.47/x
  3. Step 3: Cross multiply
    582.27x = 872.33 × 517.47
  4. Step 4: Simplify right side
    582.27x = 451,402.02
  5. Step 5: Solve for x
    x = 451,402.02/582.27
  6. Step 6: Final answer
    x = 775.25

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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.