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Finding the Fourth Proportional to 725.54, 1,086.78 and 478.28

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Solution

The fourth proportional to 725.54, 1,086.78 and 478.28 is: 716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.54 : 1,086.78 = 478.28 : x
  2. Step 2: Convert to fraction form
    725.54/1,086.78 = 478.28/x
  3. Step 3: Cross multiply
    725.54x = 1,086.78 × 478.28
  4. Step 4: Simplify right side
    725.54x = 519,785.14
  5. Step 5: Solve for x
    x = 519,785.14/725.54
  6. Step 6: Final answer
    x = 716.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.