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Finding the Fourth Proportional to 829.92, 1,242.17 and 610.49

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Solution

The fourth proportional to 829.92, 1,242.17 and 610.49 is: 913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.92 : 1,242.17 = 610.49 : x
  2. Step 2: Convert to fraction form
    829.92/1,242.17 = 610.49/x
  3. Step 3: Cross multiply
    829.92x = 1,242.17 × 610.49
  4. Step 4: Simplify right side
    829.92x = 758,332.36
  5. Step 5: Solve for x
    x = 758,332.36/829.92
  6. Step 6: Final answer
    x = 913.74

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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.