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Finding the Fourth Proportional to 1,225.92, 1,691.97 and 701.94

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Solution

The fourth proportional to 1,225.92, 1,691.97 and 701.94 is: 968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.92 : 1,691.97 = 701.94 : x
  2. Step 2: Convert to fraction form
    1,225.92/1,691.97 = 701.94/x
  3. Step 3: Cross multiply
    1,225.92x = 1,691.97 × 701.94
  4. Step 4: Simplify right side
    1,225.92x = 1,187,661.42
  5. Step 5: Solve for x
    x = 1,187,661.42/1,225.92
  6. Step 6: Final answer
    x = 968.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.