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Finding the Fourth Proportional to 916.96, 1,265.38 and 497.31

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Solution

The fourth proportional to 916.96, 1,265.38 and 497.31 is: 686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.96 : 1,265.38 = 497.31 : x
  2. Step 2: Convert to fraction form
    916.96/1,265.38 = 497.31/x
  3. Step 3: Cross multiply
    916.96x = 1,265.38 × 497.31
  4. Step 4: Simplify right side
    916.96x = 629,286.75
  5. Step 5: Solve for x
    x = 629,286.75/916.96
  6. Step 6: Final answer
    x = 686.28

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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.