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Finding the Fourth Proportional to 1,100.46, 1,648.39 and 515.97

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Solution

The fourth proportional to 1,100.46, 1,648.39 and 515.97 is: 772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.46 : 1,648.39 = 515.97 : x
  2. Step 2: Convert to fraction form
    1,100.46/1,648.39 = 515.97/x
  3. Step 3: Cross multiply
    1,100.46x = 1,648.39 × 515.97
  4. Step 4: Simplify right side
    1,100.46x = 850,519.79
  5. Step 5: Solve for x
    x = 850,519.79/1,100.46
  6. Step 6: Final answer
    x = 772.88

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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.