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Finding the Fourth Proportional to 742.56, 1,025.22 and 463.20

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Solution

The fourth proportional to 742.56, 1,025.22 and 463.20 is: 639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.56 : 1,025.22 = 463.20 : x
  2. Step 2: Convert to fraction form
    742.56/1,025.22 = 463.20/x
  3. Step 3: Cross multiply
    742.56x = 1,025.22 × 463.20
  4. Step 4: Simplify right side
    742.56x = 474,881.90
  5. Step 5: Solve for x
    x = 474,881.90/742.56
  6. Step 6: Final answer
    x = 639.52

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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.