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Finding the Fourth Proportional to 723.89, 1,086.00 and 223.57

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Solution

The fourth proportional to 723.89, 1,086.00 and 223.57 is: 335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.89 : 1,086.00 = 223.57 : x
  2. Step 2: Convert to fraction form
    723.89/1,086.00 = 223.57/x
  3. Step 3: Cross multiply
    723.89x = 1,086.00 × 223.57
  4. Step 4: Simplify right side
    723.89x = 242,793.19
  5. Step 5: Solve for x
    x = 242,793.19/723.89
  6. Step 6: Final answer
    x = 335.40

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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.