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Finding the Fourth Proportional to 1,648.32, 2,469.28 and 781.44

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Solution

The fourth proportional to 1,648.32, 2,469.28 and 781.44 is: 1,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.32 : 2,469.28 = 781.44 : x
  2. Step 2: Convert to fraction form
    1,648.32/2,469.28 = 781.44/x
  3. Step 3: Cross multiply
    1,648.32x = 2,469.28 × 781.44
  4. Step 4: Simplify right side
    1,648.32x = 1,929,594.16
  5. Step 5: Solve for x
    x = 1,929,594.16/1,648.32
  6. Step 6: Final answer
    x = 1,170.64

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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.