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Finding the Fourth Proportional to 1,282.13, 1,769.44 and 722.57

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Solution

The fourth proportional to 1,282.13, 1,769.44 and 722.57 is: 997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.13 : 1,769.44 = 722.57 : x
  2. Step 2: Convert to fraction form
    1,282.13/1,769.44 = 722.57/x
  3. Step 3: Cross multiply
    1,282.13x = 1,769.44 × 722.57
  4. Step 4: Simplify right side
    1,282.13x = 1,278,535.41
  5. Step 5: Solve for x
    x = 1,278,535.41/1,282.13
  6. Step 6: Final answer
    x = 997.20

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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.