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Finding the Fourth Proportional to 1,203.38, 1,660.74 and 679.40

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Solution

The fourth proportional to 1,203.38, 1,660.74 and 679.40 is: 937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.38 : 1,660.74 = 679.40 : x
  2. Step 2: Convert to fraction form
    1,203.38/1,660.74 = 679.40/x
  3. Step 3: Cross multiply
    1,203.38x = 1,660.74 × 679.40
  4. Step 4: Simplify right side
    1,203.38x = 1,128,306.76
  5. Step 5: Solve for x
    x = 1,128,306.76/1,203.38
  6. Step 6: Final answer
    x = 937.61

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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.