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Finding the Fourth Proportional to 1,281.87, 1,769.18 and 758.07

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Solution

The fourth proportional to 1,281.87, 1,769.18 and 758.07 is: 1,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.87 : 1,769.18 = 758.07 : x
  2. Step 2: Convert to fraction form
    1,281.87/1,769.18 = 758.07/x
  3. Step 3: Cross multiply
    1,281.87x = 1,769.18 × 758.07
  4. Step 4: Simplify right side
    1,281.87x = 1,341,158.49
  5. Step 5: Solve for x
    x = 1,341,158.49/1,281.87
  6. Step 6: Final answer
    x = 1,046.25

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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.