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Finding the Fourth Proportional to 725.55, 1,082.71 and 701.88

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Solution

The fourth proportional to 725.55, 1,082.71 and 701.88 is: 1,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.55 : 1,082.71 = 701.88 : x
  2. Step 2: Convert to fraction form
    725.55/1,082.71 = 701.88/x
  3. Step 3: Cross multiply
    725.55x = 1,082.71 × 701.88
  4. Step 4: Simplify right side
    725.55x = 759,930.74
  5. Step 5: Solve for x
    x = 759,930.74/725.55
  6. Step 6: Final answer
    x = 1,047.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.