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Finding the Fourth Proportional to 1,202.92, 1,660.14 and 679

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Solution

The fourth proportional to 1,202.92, 1,660.14 and 679 is: 937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.92 : 1,660.14 = 679 : x
  2. Step 2: Convert to fraction form
    1,202.92/1,660.14 = 679/x
  3. Step 3: Cross multiply
    1,202.92x = 1,660.14 × 679
  4. Step 4: Simplify right side
    1,202.92x = 1,127,235.06
  5. Step 5: Solve for x
    x = 1,127,235.06/1,202.92
  6. Step 6: Final answer
    x = 937.08

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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.