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Finding the Fourth Proportional to 916, 1,264.11 and 523

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Solution

The fourth proportional to 916, 1,264.11 and 523 is: 721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    916 : 1,264.11 = 523 : x
  2. Step 2: Convert to fraction form
    916/1,264.11 = 523/x
  3. Step 3: Cross multiply
    916x = 1,264.11 × 523
  4. Step 4: Simplify right side
    916x = 661,129.53
  5. Step 5: Solve for x
    x = 661,129.53/916
  6. Step 6: Final answer
    x = 721.76

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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.