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Finding the Fourth Proportional to 748.31, 1,119.87 and 592.92

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Solution

The fourth proportional to 748.31, 1,119.87 and 592.92 is: 887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.31 : 1,119.87 = 592.92 : x
  2. Step 2: Convert to fraction form
    748.31/1,119.87 = 592.92/x
  3. Step 3: Cross multiply
    748.31x = 1,119.87 × 592.92
  4. Step 4: Simplify right side
    748.31x = 663,993.32
  5. Step 5: Solve for x
    x = 663,993.32/748.31
  6. Step 6: Final answer
    x = 887.33

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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.