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Finding the Fourth Proportional to 812.91, 1,217.67 and 488.10

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Solution

The fourth proportional to 812.91, 1,217.67 and 488.10 is: 731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.91 : 1,217.67 = 488.10 : x
  2. Step 2: Convert to fraction form
    812.91/1,217.67 = 488.10/x
  3. Step 3: Cross multiply
    812.91x = 1,217.67 × 488.10
  4. Step 4: Simplify right side
    812.91x = 594,344.73
  5. Step 5: Solve for x
    x = 594,344.73/812.91
  6. Step 6: Final answer
    x = 731.13

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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.