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Finding the Fourth Proportional to 748.88, 1,032.67 and 591.25

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Solution

The fourth proportional to 748.88, 1,032.67 and 591.25 is: 815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.88 : 1,032.67 = 591.25 : x
  2. Step 2: Convert to fraction form
    748.88/1,032.67 = 591.25/x
  3. Step 3: Cross multiply
    748.88x = 1,032.67 × 591.25
  4. Step 4: Simplify right side
    748.88x = 610,566.14
  5. Step 5: Solve for x
    x = 610,566.14/748.88
  6. Step 6: Final answer
    x = 815.31

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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.