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Finding the Fourth Proportional to 921.09, 1,270.78 and 522.70

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Solution

The fourth proportional to 921.09, 1,270.78 and 522.70 is: 721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.09 : 1,270.78 = 522.70 : x
  2. Step 2: Convert to fraction form
    921.09/1,270.78 = 522.70/x
  3. Step 3: Cross multiply
    921.09x = 1,270.78 × 522.70
  4. Step 4: Simplify right side
    921.09x = 664,227.74
  5. Step 5: Solve for x
    x = 664,227.74/921.09
  6. Step 6: Final answer
    x = 721.13

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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.