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Finding the Fourth Proportional to 916.71, 1,265.13 and 523.76

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Solution

The fourth proportional to 916.71, 1,265.13 and 523.76 is: 722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.71 : 1,265.13 = 523.76 : x
  2. Step 2: Convert to fraction form
    916.71/1,265.13 = 523.76/x
  3. Step 3: Cross multiply
    916.71x = 1,265.13 × 523.76
  4. Step 4: Simplify right side
    916.71x = 662,624.49
  5. Step 5: Solve for x
    x = 662,624.49/916.71
  6. Step 6: Final answer
    x = 722.83

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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.