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Finding the Fourth Proportional to 725.65, 1,086.78 and 359.26

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Solution

The fourth proportional to 725.65, 1,086.78 and 359.26 is: 538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.65 : 1,086.78 = 359.26 : x
  2. Step 2: Convert to fraction form
    725.65/1,086.78 = 359.26/x
  3. Step 3: Cross multiply
    725.65x = 1,086.78 × 359.26
  4. Step 4: Simplify right side
    725.65x = 390,431.15
  5. Step 5: Solve for x
    x = 390,431.15/725.65
  6. Step 6: Final answer
    x = 538.05

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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.