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Finding the Fourth Proportional to 582.66, 872.78 and 308.17

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Solution

The fourth proportional to 582.66, 872.78 and 308.17 is: 461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.66 : 872.78 = 308.17 : x
  2. Step 2: Convert to fraction form
    582.66/872.78 = 308.17/x
  3. Step 3: Cross multiply
    582.66x = 872.78 × 308.17
  4. Step 4: Simplify right side
    582.66x = 268,960.25
  5. Step 5: Solve for x
    x = 268,960.25/582.66
  6. Step 6: Final answer
    x = 461.61

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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.