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Finding the Fourth Proportional to 747.97, 1,121.78 and 285.58

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Solution

The fourth proportional to 747.97, 1,121.78 and 285.58 is: 428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.97 : 1,121.78 = 285.58 : x
  2. Step 2: Convert to fraction form
    747.97/1,121.78 = 285.58/x
  3. Step 3: Cross multiply
    747.97x = 1,121.78 × 285.58
  4. Step 4: Simplify right side
    747.97x = 320,360.05
  5. Step 5: Solve for x
    x = 320,360.05/747.97
  6. Step 6: Final answer
    x = 428.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.