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Finding the Fourth Proportional to 921.18, 1,270.92 and 522.80

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Solution

The fourth proportional to 921.18, 1,270.92 and 522.80 is: 721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.18 : 1,270.92 = 522.80 : x
  2. Step 2: Convert to fraction form
    921.18/1,270.92 = 522.80/x
  3. Step 3: Cross multiply
    921.18x = 1,270.92 × 522.80
  4. Step 4: Simplify right side
    921.18x = 664,440.15
  5. Step 5: Solve for x
    x = 664,440.15/921.18
  6. Step 6: Final answer
    x = 721.29

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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.