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Finding the Fourth Proportional to 725.29, 1,087.12 and 313.81

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Solution

The fourth proportional to 725.29, 1,087.12 and 313.81 is: 470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.29 : 1,087.12 = 313.81 : x
  2. Step 2: Convert to fraction form
    725.29/1,087.12 = 313.81/x
  3. Step 3: Cross multiply
    725.29x = 1,087.12 × 313.81
  4. Step 4: Simplify right side
    725.29x = 341,149.13
  5. Step 5: Solve for x
    x = 341,149.13/725.29
  6. Step 6: Final answer
    x = 470.36

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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.