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Finding the Fourth Proportional to 749.62, 1,034.35 and 426.21

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Solution

The fourth proportional to 749.62, 1,034.35 and 426.21 is: 588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.62 : 1,034.35 = 426.21 : x
  2. Step 2: Convert to fraction form
    749.62/1,034.35 = 426.21/x
  3. Step 3: Cross multiply
    749.62x = 1,034.35 × 426.21
  4. Step 4: Simplify right side
    749.62x = 440,850.31
  5. Step 5: Solve for x
    x = 440,850.31/749.62
  6. Step 6: Final answer
    x = 588.10

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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.