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Finding the Fourth Proportional to 1,124.14, 1,550.85 and 769.49

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Solution

The fourth proportional to 1,124.14, 1,550.85 and 769.49 is: 1,061.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.14 : 1,550.85 = 769.49 : x
  2. Step 2: Convert to fraction form
    1,124.14/1,550.85 = 769.49/x
  3. Step 3: Cross multiply
    1,124.14x = 1,550.85 × 769.49
  4. Step 4: Simplify right side
    1,124.14x = 1,193,363.57
  5. Step 5: Solve for x
    x = 1,193,363.57/1,124.14
  6. Step 6: Final answer
    x = 1,061.58

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1.5x scale

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.