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Finding the Fourth Proportional to 752.22, 1,038.28 and 441.78

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Solution

The fourth proportional to 752.22, 1,038.28 and 441.78 is: 609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.22 : 1,038.28 = 441.78 : x
  2. Step 2: Convert to fraction form
    752.22/1,038.28 = 441.78/x
  3. Step 3: Cross multiply
    752.22x = 1,038.28 × 441.78
  4. Step 4: Simplify right side
    752.22x = 458,691.34
  5. Step 5: Solve for x
    x = 458,691.34/752.22
  6. Step 6: Final answer
    x = 609.78

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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.