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Finding the Fourth Proportional to 1,138.20, 1,707.30 and 773.70

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Solution

The fourth proportional to 1,138.20, 1,707.30 and 773.70 is: 1,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.20 : 1,707.30 = 773.70 : x
  2. Step 2: Convert to fraction form
    1,138.20/1,707.30 = 773.70/x
  3. Step 3: Cross multiply
    1,138.20x = 1,707.30 × 773.70
  4. Step 4: Simplify right side
    1,138.20x = 1,320,938.01
  5. Step 5: Solve for x
    x = 1,320,938.01/1,138.20
  6. Step 6: Final answer
    x = 1,160.55

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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.