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Finding the Fourth Proportional to 916.17, 1,264.34 and 517.92

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Solution

The fourth proportional to 916.17, 1,264.34 and 517.92 is: 714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.17 : 1,264.34 = 517.92 : x
  2. Step 2: Convert to fraction form
    916.17/1,264.34 = 517.92/x
  3. Step 3: Cross multiply
    916.17x = 1,264.34 × 517.92
  4. Step 4: Simplify right side
    916.17x = 654,820.65
  5. Step 5: Solve for x
    x = 654,820.65/916.17
  6. Step 6: Final answer
    x = 714.74

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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.