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Finding the Fourth Proportional to 724.20, 1,085.98 and 211.08

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Solution

The fourth proportional to 724.20, 1,085.98 and 211.08 is: 316.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.20 : 1,085.98 = 211.08 : x
  2. Step 2: Convert to fraction form
    724.20/1,085.98 = 211.08/x
  3. Step 3: Cross multiply
    724.20x = 1,085.98 × 211.08
  4. Step 4: Simplify right side
    724.20x = 229,228.66
  5. Step 5: Solve for x
    x = 229,228.66/724.20
  6. Step 6: Final answer
    x = 316.53

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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.