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Finding the Fourth Proportional to 724.10, 1,085.36 and 236.79

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Solution

The fourth proportional to 724.10, 1,085.36 and 236.79 is: 354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.10 : 1,085.36 = 236.79 : x
  2. Step 2: Convert to fraction form
    724.10/1,085.36 = 236.79/x
  3. Step 3: Cross multiply
    724.10x = 1,085.36 × 236.79
  4. Step 4: Simplify right side
    724.10x = 257,001.21
  5. Step 5: Solve for x
    x = 257,001.21/724.10
  6. Step 6: Final answer
    x = 354.93

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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.