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Finding the Fourth Proportional to 725.48, 1,087.48 and 378.60

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Solution

The fourth proportional to 725.48, 1,087.48 and 378.60 is: 567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.48 : 1,087.48 = 378.60 : x
  2. Step 2: Convert to fraction form
    725.48/1,087.48 = 378.60/x
  3. Step 3: Cross multiply
    725.48x = 1,087.48 × 378.60
  4. Step 4: Simplify right side
    725.48x = 411,719.93
  5. Step 5: Solve for x
    x = 411,719.93/725.48
  6. Step 6: Final answer
    x = 567.51

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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.