Home / 1,108.28-1,660.80-986.78

Finding the Fourth Proportional to 1,108.28, 1,660.80 and 986.78

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Solution

The fourth proportional to 1,108.28, 1,660.80 and 986.78 is: 1,478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.28 : 1,660.80 = 986.78 : x
  2. Step 2: Convert to fraction form
    1,108.28/1,660.80 = 986.78/x
  3. Step 3: Cross multiply
    1,108.28x = 1,660.80 × 986.78
  4. Step 4: Simplify right side
    1,108.28x = 1,638,844.22
  5. Step 5: Solve for x
    x = 1,638,844.22/1,108.28
  6. Step 6: Final answer
    x = 1,478.73

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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.