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Finding the Fourth Proportional to 748.71, 1,125.63 and 588.33

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Solution

The fourth proportional to 748.71, 1,125.63 and 588.33 is: 884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.71 : 1,125.63 = 588.33 : x
  2. Step 2: Convert to fraction form
    748.71/1,125.63 = 588.33/x
  3. Step 3: Cross multiply
    748.71x = 1,125.63 × 588.33
  4. Step 4: Simplify right side
    748.71x = 662,241.90
  5. Step 5: Solve for x
    x = 662,241.90/748.71
  6. Step 6: Final answer
    x = 884.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.