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Finding the Fourth Proportional to 725.80, 1,000.78 and 655.84

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Solution

The fourth proportional to 725.80, 1,000.78 and 655.84 is: 904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.80 : 1,000.78 = 655.84 : x
  2. Step 2: Convert to fraction form
    725.80/1,000.78 = 655.84/x
  3. Step 3: Cross multiply
    725.80x = 1,000.78 × 655.84
  4. Step 4: Simplify right side
    725.80x = 656,351.56
  5. Step 5: Solve for x
    x = 656,351.56/725.80
  6. Step 6: Final answer
    x = 904.31

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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.