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Finding the Fourth Proportional to 723.71, 1,084.51 and 394.37

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Solution

The fourth proportional to 723.71, 1,084.51 and 394.37 is: 590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.71 : 1,084.51 = 394.37 : x
  2. Step 2: Convert to fraction form
    723.71/1,084.51 = 394.37/x
  3. Step 3: Cross multiply
    723.71x = 1,084.51 × 394.37
  4. Step 4: Simplify right side
    723.71x = 427,691.80
  5. Step 5: Solve for x
    x = 427,691.80/723.71
  6. Step 6: Final answer
    x = 590.98

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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.