Home / 1,171.02-1,616.33-728.66

Finding the Fourth Proportional to 1,171.02, 1,616.33 and 728.66

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Solution

The fourth proportional to 1,171.02, 1,616.33 and 728.66 is: 1,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.02 : 1,616.33 = 728.66 : x
  2. Step 2: Convert to fraction form
    1,171.02/1,616.33 = 728.66/x
  3. Step 3: Cross multiply
    1,171.02x = 1,616.33 × 728.66
  4. Step 4: Simplify right side
    1,171.02x = 1,177,743.29
  5. Step 5: Solve for x
    x = 1,177,743.29/1,171.02
  6. Step 6: Final answer
    x = 1,005.75

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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.