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Finding the Fourth Proportional to 757.21, 1,044.91 and 425.69

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Solution

The fourth proportional to 757.21, 1,044.91 and 425.69 is: 587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.21 : 1,044.91 = 425.69 : x
  2. Step 2: Convert to fraction form
    757.21/1,044.91 = 425.69/x
  3. Step 3: Cross multiply
    757.21x = 1,044.91 × 425.69
  4. Step 4: Simplify right side
    757.21x = 444,807.74
  5. Step 5: Solve for x
    x = 444,807.74/757.21
  6. Step 6: Final answer
    x = 587.43

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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.