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Finding the Fourth Proportional to 839.21, 1,253.16 and 685.44

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Solution

The fourth proportional to 839.21, 1,253.16 and 685.44 is: 1,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.21 : 1,253.16 = 685.44 : x
  2. Step 2: Convert to fraction form
    839.21/1,253.16 = 685.44/x
  3. Step 3: Cross multiply
    839.21x = 1,253.16 × 685.44
  4. Step 4: Simplify right side
    839.21x = 858,962.86
  5. Step 5: Solve for x
    x = 858,962.86/839.21
  6. Step 6: Final answer
    x = 1,023.54

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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.