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Finding the Fourth Proportional to 742.08, 1,024 and 431.52

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Solution

The fourth proportional to 742.08, 1,024 and 431.52 is: 595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.08 : 1,024 = 431.52 : x
  2. Step 2: Convert to fraction form
    742.08/1,024 = 431.52/x
  3. Step 3: Cross multiply
    742.08x = 1,024 × 431.52
  4. Step 4: Simplify right side
    742.08x = 441,876.48
  5. Step 5: Solve for x
    x = 441,876.48/742.08
  6. Step 6: Final answer
    x = 595.46

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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.