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Finding the Fourth Proportional to 723.66, 1,084.26 and 414.74

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Solution

The fourth proportional to 723.66, 1,084.26 and 414.74 is: 621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.66 : 1,084.26 = 414.74 : x
  2. Step 2: Convert to fraction form
    723.66/1,084.26 = 414.74/x
  3. Step 3: Cross multiply
    723.66x = 1,084.26 × 414.74
  4. Step 4: Simplify right side
    723.66x = 449,685.99
  5. Step 5: Solve for x
    x = 449,685.99/723.66
  6. Step 6: Final answer
    x = 621.41

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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.