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Finding the Fourth Proportional to 838.50, 1,252.26 and 723.18

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Solution

The fourth proportional to 838.50, 1,252.26 and 723.18 is: 1,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.50 : 1,252.26 = 723.18 : x
  2. Step 2: Convert to fraction form
    838.50/1,252.26 = 723.18/x
  3. Step 3: Cross multiply
    838.50x = 1,252.26 × 723.18
  4. Step 4: Simplify right side
    838.50x = 905,609.39
  5. Step 5: Solve for x
    x = 905,609.39/838.50
  6. Step 6: Final answer
    x = 1,080.04

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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.