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Finding the Fourth Proportional to 749.53, 1,033.17 and 591.91

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Solution

The fourth proportional to 749.53, 1,033.17 and 591.91 is: 815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.53 : 1,033.17 = 591.91 : x
  2. Step 2: Convert to fraction form
    749.53/1,033.17 = 591.91/x
  3. Step 3: Cross multiply
    749.53x = 1,033.17 × 591.91
  4. Step 4: Simplify right side
    749.53x = 611,543.65
  5. Step 5: Solve for x
    x = 611,543.65/749.53
  6. Step 6: Final answer
    x = 815.90

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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.