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Finding the Fourth Proportional to 916.12, 1,264.17 and 517.78

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Solution

The fourth proportional to 916.12, 1,264.17 and 517.78 is: 714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.12 : 1,264.17 = 517.78 : x
  2. Step 2: Convert to fraction form
    916.12/1,264.17 = 517.78/x
  3. Step 3: Cross multiply
    916.12x = 1,264.17 × 517.78
  4. Step 4: Simplify right side
    916.12x = 654,561.94
  5. Step 5: Solve for x
    x = 654,561.94/916.12
  6. Step 6: Final answer
    x = 714.49

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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.