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Finding the Fourth Proportional to 839.50, 1,253.75 and 724.18

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Solution

The fourth proportional to 839.50, 1,253.75 and 724.18 is: 1,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.50 : 1,253.75 = 724.18 : x
  2. Step 2: Convert to fraction form
    839.50/1,253.75 = 724.18/x
  3. Step 3: Cross multiply
    839.50x = 1,253.75 × 724.18
  4. Step 4: Simplify right side
    839.50x = 907,940.68
  5. Step 5: Solve for x
    x = 907,940.68/839.50
  6. Step 6: Final answer
    x = 1,081.53

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1.5x scale

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.