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Finding the Fourth Proportional to 915.79, 1,264.22 and 522.73

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Solution

The fourth proportional to 915.79, 1,264.22 and 522.73 is: 721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.79 : 1,264.22 = 522.73 : x
  2. Step 2: Convert to fraction form
    915.79/1,264.22 = 522.73/x
  3. Step 3: Cross multiply
    915.79x = 1,264.22 × 522.73
  4. Step 4: Simplify right side
    915.79x = 660,850.98
  5. Step 5: Solve for x
    x = 660,850.98/915.79
  6. Step 6: Final answer
    x = 721.62

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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.