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Finding the Fourth Proportional to 1,282.27, 1,769.51 and 722.74

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Solution

The fourth proportional to 1,282.27, 1,769.51 and 722.74 is: 997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.27 : 1,769.51 = 722.74 : x
  2. Step 2: Convert to fraction form
    1,282.27/1,769.51 = 722.74/x
  3. Step 3: Cross multiply
    1,282.27x = 1,769.51 × 722.74
  4. Step 4: Simplify right side
    1,282.27x = 1,278,895.66
  5. Step 5: Solve for x
    x = 1,278,895.66/1,282.27
  6. Step 6: Final answer
    x = 997.37

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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.