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Finding the Fourth Proportional to 916.88, 1,265.29 and 502.88

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Solution

The fourth proportional to 916.88, 1,265.29 and 502.88 is: 693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.88 : 1,265.29 = 502.88 : x
  2. Step 2: Convert to fraction form
    916.88/1,265.29 = 502.88/x
  3. Step 3: Cross multiply
    916.88x = 1,265.29 × 502.88
  4. Step 4: Simplify right side
    916.88x = 636,281.45
  5. Step 5: Solve for x
    x = 636,281.45/916.88
  6. Step 6: Final answer
    x = 693.97

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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.