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Finding the Fourth Proportional to 916.89, 1,265.31 and 497.24

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Solution

The fourth proportional to 916.89, 1,265.31 and 497.24 is: 686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.89 : 1,265.31 = 497.24 : x
  2. Step 2: Convert to fraction form
    916.89/1,265.31 = 497.24/x
  3. Step 3: Cross multiply
    916.89x = 1,265.31 × 497.24
  4. Step 4: Simplify right side
    916.89x = 629,156.42
  5. Step 5: Solve for x
    x = 629,156.42/916.89
  6. Step 6: Final answer
    x = 686.19

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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.