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Finding the Fourth Proportional to 723.47, 1,084.19 and 414.86

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Solution

The fourth proportional to 723.47, 1,084.19 and 414.86 is: 621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.47 : 1,084.19 = 414.86 : x
  2. Step 2: Convert to fraction form
    723.47/1,084.19 = 414.86/x
  3. Step 3: Cross multiply
    723.47x = 1,084.19 × 414.86
  4. Step 4: Simplify right side
    723.47x = 449,787.06
  5. Step 5: Solve for x
    x = 449,787.06/723.47
  6. Step 6: Final answer
    x = 621.71

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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.