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Finding the Fourth Proportional to 1,119.85, 1,543.65 and 769.93

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Solution

The fourth proportional to 1,119.85, 1,543.65 and 769.93 is: 1,061.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.85 : 1,543.65 = 769.93 : x
  2. Step 2: Convert to fraction form
    1,119.85/1,543.65 = 769.93/x
  3. Step 3: Cross multiply
    1,119.85x = 1,543.65 × 769.93
  4. Step 4: Simplify right side
    1,119.85x = 1,188,502.44
  5. Step 5: Solve for x
    x = 1,188,502.44/1,119.85
  6. Step 6: Final answer
    x = 1,061.31

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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.