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Finding the Fourth Proportional to 742.94, 1,024.12 and 632.38

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Solution

The fourth proportional to 742.94, 1,024.12 and 632.38 is: 871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.94 : 1,024.12 = 632.38 : x
  2. Step 2: Convert to fraction form
    742.94/1,024.12 = 632.38/x
  3. Step 3: Cross multiply
    742.94x = 1,024.12 × 632.38
  4. Step 4: Simplify right side
    742.94x = 647,633.01
  5. Step 5: Solve for x
    x = 647,633.01/742.94
  6. Step 6: Final answer
    x = 871.72

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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.