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Finding the Fourth Proportional to 724.74, 1,084.89 and 446.37

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Solution

The fourth proportional to 724.74, 1,084.89 and 446.37 is: 668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.74 : 1,084.89 = 446.37 : x
  2. Step 2: Convert to fraction form
    724.74/1,084.89 = 446.37/x
  3. Step 3: Cross multiply
    724.74x = 1,084.89 × 446.37
  4. Step 4: Simplify right side
    724.74x = 484,262.35
  5. Step 5: Solve for x
    x = 484,262.35/724.74
  6. Step 6: Final answer
    x = 668.19

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1.5x scale

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.