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Finding the Fourth Proportional to 725.35, 998.68 and 567.78

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Solution

The fourth proportional to 725.35, 998.68 and 567.78 is: 781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.35 : 998.68 = 567.78 : x
  2. Step 2: Convert to fraction form
    725.35/998.68 = 567.78/x
  3. Step 3: Cross multiply
    725.35x = 998.68 × 567.78
  4. Step 4: Simplify right side
    725.35x = 567,030.53
  5. Step 5: Solve for x
    x = 567,030.53/725.35
  6. Step 6: Final answer
    x = 781.73

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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.