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Finding the Fourth Proportional to 837.44, 1,253.85 and 424.56

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Solution

The fourth proportional to 837.44, 1,253.85 and 424.56 is: 635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.44 : 1,253.85 = 424.56 : x
  2. Step 2: Convert to fraction form
    837.44/1,253.85 = 424.56/x
  3. Step 3: Cross multiply
    837.44x = 1,253.85 × 424.56
  4. Step 4: Simplify right side
    837.44x = 532,339.48
  5. Step 5: Solve for x
    x = 532,339.48/837.44
  6. Step 6: Final answer
    x = 635.67

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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.