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Finding the Fourth Proportional to 749.54, 1,033.16 and 591.90

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Solution

The fourth proportional to 749.54, 1,033.16 and 591.90 is: 815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.54 : 1,033.16 = 591.90 : x
  2. Step 2: Convert to fraction form
    749.54/1,033.16 = 591.90/x
  3. Step 3: Cross multiply
    749.54x = 1,033.16 × 591.90
  4. Step 4: Simplify right side
    749.54x = 611,527.40
  5. Step 5: Solve for x
    x = 611,527.40/749.54
  6. Step 6: Final answer
    x = 815.87

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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.