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Finding the Fourth Proportional to 1,282.71, 1,769.76 and 863.53

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Solution

The fourth proportional to 1,282.71, 1,769.76 and 863.53 is: 1,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.71 : 1,769.76 = 863.53 : x
  2. Step 2: Convert to fraction form
    1,282.71/1,769.76 = 863.53/x
  3. Step 3: Cross multiply
    1,282.71x = 1,769.76 × 863.53
  4. Step 4: Simplify right side
    1,282.71x = 1,528,240.85
  5. Step 5: Solve for x
    x = 1,528,240.85/1,282.71
  6. Step 6: Final answer
    x = 1,191.42

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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.