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Finding the Fourth Proportional to 1,139.74, 1,572.84 and 667.96

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Solution

The fourth proportional to 1,139.74, 1,572.84 and 667.96 is: 921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.74 : 1,572.84 = 667.96 : x
  2. Step 2: Convert to fraction form
    1,139.74/1,572.84 = 667.96/x
  3. Step 3: Cross multiply
    1,139.74x = 1,572.84 × 667.96
  4. Step 4: Simplify right side
    1,139.74x = 1,050,594.21
  5. Step 5: Solve for x
    x = 1,050,594.21/1,139.74
  6. Step 6: Final answer
    x = 921.78

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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.