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Finding the Fourth Proportional to 725.80, 981.75 and 725.80

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Solution

The fourth proportional to 725.80, 981.75 and 725.80 is: 981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.80 : 981.75 = 725.80 : x
  2. Step 2: Convert to fraction form
    725.80/981.75 = 725.80/x
  3. Step 3: Cross multiply
    725.80x = 981.75 × 725.80
  4. Step 4: Simplify right side
    725.80x = 712,554.15
  5. Step 5: Solve for x
    x = 712,554.15/725.80
  6. Step 6: Final answer
    x = 981.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.