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Finding the Fourth Proportional to 725.25, 998.68 and 614.49

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Solution

The fourth proportional to 725.25, 998.68 and 614.49 is: 846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.25 : 998.68 = 614.49 : x
  2. Step 2: Convert to fraction form
    725.25/998.68 = 614.49/x
  3. Step 3: Cross multiply
    725.25x = 998.68 × 614.49
  4. Step 4: Simplify right side
    725.25x = 613,674.74
  5. Step 5: Solve for x
    x = 613,674.74/725.25
  6. Step 6: Final answer
    x = 846.15

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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.