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Finding the Fourth Proportional to 1,044.28, 1,565.61 and 428.14

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Solution

The fourth proportional to 1,044.28, 1,565.61 and 428.14 is: 641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.28 : 1,565.61 = 428.14 : x
  2. Step 2: Convert to fraction form
    1,044.28/1,565.61 = 428.14/x
  3. Step 3: Cross multiply
    1,044.28x = 1,565.61 × 428.14
  4. Step 4: Simplify right side
    1,044.28x = 670,300.27
  5. Step 5: Solve for x
    x = 670,300.27/1,044.28
  6. Step 6: Final answer
    x = 641.88

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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.