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Finding the Fourth Proportional to 1,110.28, 1,532.04 and 667.96

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Solution

The fourth proportional to 1,110.28, 1,532.04 and 667.96 is: 921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.28 : 1,532.04 = 667.96 : x
  2. Step 2: Convert to fraction form
    1,110.28/1,532.04 = 667.96/x
  3. Step 3: Cross multiply
    1,110.28x = 1,532.04 × 667.96
  4. Step 4: Simplify right side
    1,110.28x = 1,023,341.44
  5. Step 5: Solve for x
    x = 1,023,341.44/1,110.28
  6. Step 6: Final answer
    x = 921.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.