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Finding the Fourth Proportional to 916.74, 1,265.09 and 523.71

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Solution

The fourth proportional to 916.74, 1,265.09 and 523.71 is: 722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.74 : 1,265.09 = 523.71 : x
  2. Step 2: Convert to fraction form
    916.74/1,265.09 = 523.71/x
  3. Step 3: Cross multiply
    916.74x = 1,265.09 × 523.71
  4. Step 4: Simplify right side
    916.74x = 662,537.67
  5. Step 5: Solve for x
    x = 662,537.67/916.74
  6. Step 6: Final answer
    x = 722.71

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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.