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Finding the Fourth Proportional to 839.33, 1,253.34 and 685.55

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Solution

The fourth proportional to 839.33, 1,253.34 and 685.55 is: 1,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.33 : 1,253.34 = 685.55 : x
  2. Step 2: Convert to fraction form
    839.33/1,253.34 = 685.55/x
  3. Step 3: Cross multiply
    839.33x = 1,253.34 × 685.55
  4. Step 4: Simplify right side
    839.33x = 859,227.24
  5. Step 5: Solve for x
    x = 859,227.24/839.33
  6. Step 6: Final answer
    x = 1,023.71

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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.