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Finding the Fourth Proportional to 1,044.40, 1,565.76 and 428.41

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Solution

The fourth proportional to 1,044.40, 1,565.76 and 428.41 is: 642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.40 : 1,565.76 = 428.41 : x
  2. Step 2: Convert to fraction form
    1,044.40/1,565.76 = 428.41/x
  3. Step 3: Cross multiply
    1,044.40x = 1,565.76 × 428.41
  4. Step 4: Simplify right side
    1,044.40x = 670,787.24
  5. Step 5: Solve for x
    x = 670,787.24/1,044.40
  6. Step 6: Final answer
    x = 642.27

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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.