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Finding the Fourth Proportional to 685.59, 1,029.41 and 548.23

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Solution

The fourth proportional to 685.59, 1,029.41 and 548.23 is: 823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.59 : 1,029.41 = 548.23 : x
  2. Step 2: Convert to fraction form
    685.59/1,029.41 = 548.23/x
  3. Step 3: Cross multiply
    685.59x = 1,029.41 × 548.23
  4. Step 4: Simplify right side
    685.59x = 564,353.44
  5. Step 5: Solve for x
    x = 564,353.44/685.59
  6. Step 6: Final answer
    x = 823.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.