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Finding the Fourth Proportional to 748.31, 1,032.94 and 642.97

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Solution

The fourth proportional to 748.31, 1,032.94 and 642.97 is: 887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.31 : 1,032.94 = 642.97 : x
  2. Step 2: Convert to fraction form
    748.31/1,032.94 = 642.97/x
  3. Step 3: Cross multiply
    748.31x = 1,032.94 × 642.97
  4. Step 4: Simplify right side
    748.31x = 664,145.24
  5. Step 5: Solve for x
    x = 664,145.24/748.31
  6. Step 6: Final answer
    x = 887.53

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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.