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Finding the Fourth Proportional to 742.59, 1,024.78 and 411.02

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Solution

The fourth proportional to 742.59, 1,024.78 and 411.02 is: 567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.59 : 1,024.78 = 411.02 : x
  2. Step 2: Convert to fraction form
    742.59/1,024.78 = 411.02/x
  3. Step 3: Cross multiply
    742.59x = 1,024.78 × 411.02
  4. Step 4: Simplify right side
    742.59x = 421,203.02
  5. Step 5: Solve for x
    x = 421,203.02/742.59
  6. Step 6: Final answer
    x = 567.21

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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.