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Finding the Fourth Proportional to 1,424.28, 2,134.72 and 644.48

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Solution

The fourth proportional to 1,424.28, 2,134.72 and 644.48 is: 965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.28 : 2,134.72 = 644.48 : x
  2. Step 2: Convert to fraction form
    1,424.28/2,134.72 = 644.48/x
  3. Step 3: Cross multiply
    1,424.28x = 2,134.72 × 644.48
  4. Step 4: Simplify right side
    1,424.28x = 1,375,785.77
  5. Step 5: Solve for x
    x = 1,375,785.77/1,424.28
  6. Step 6: Final answer
    x = 965.95

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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.