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Finding the Fourth Proportional to 823.88, 1,230.03 and 724.68

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Solution

The fourth proportional to 823.88, 1,230.03 and 724.68 is: 1,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.88 : 1,230.03 = 724.68 : x
  2. Step 2: Convert to fraction form
    823.88/1,230.03 = 724.68/x
  3. Step 3: Cross multiply
    823.88x = 1,230.03 × 724.68
  4. Step 4: Simplify right side
    823.88x = 891,378.14
  5. Step 5: Solve for x
    x = 891,378.14/823.88
  6. Step 6: Final answer
    x = 1,081.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.