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Finding the Fourth Proportional to 725, 1,087.56 and 286.22

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Solution

The fourth proportional to 725, 1,087.56 and 286.22 is: 429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    725 : 1,087.56 = 286.22 : x
  2. Step 2: Convert to fraction form
    725/1,087.56 = 286.22/x
  3. Step 3: Cross multiply
    725x = 1,087.56 × 286.22
  4. Step 4: Simplify right side
    725x = 311,281.42
  5. Step 5: Solve for x
    x = 311,281.42/725
  6. Step 6: Final answer
    x = 429.35

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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.