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Finding the Fourth Proportional to 839.24, 1,253.21 and 685.47

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Solution

The fourth proportional to 839.24, 1,253.21 and 685.47 is: 1,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.24 : 1,253.21 = 685.47 : x
  2. Step 2: Convert to fraction form
    839.24/1,253.21 = 685.47/x
  3. Step 3: Cross multiply
    839.24x = 1,253.21 × 685.47
  4. Step 4: Simplify right side
    839.24x = 859,034.43
  5. Step 5: Solve for x
    x = 859,034.43/839.24
  6. Step 6: Final answer
    x = 1,023.59

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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.