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Finding the Fourth Proportional to 582.17, 872.49 and 308.19

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Solution

The fourth proportional to 582.17, 872.49 and 308.19 is: 461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.17 : 872.49 = 308.19 : x
  2. Step 2: Convert to fraction form
    582.17/872.49 = 308.19/x
  3. Step 3: Cross multiply
    582.17x = 872.49 × 308.19
  4. Step 4: Simplify right side
    582.17x = 268,890.58
  5. Step 5: Solve for x
    x = 268,890.58/582.17
  6. Step 6: Final answer
    x = 461.88

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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.