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Finding the Fourth Proportional to 1,170.97, 1,615.62 and 728.71

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Solution

The fourth proportional to 1,170.97, 1,615.62 and 728.71 is: 1,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.97 : 1,615.62 = 728.71 : x
  2. Step 2: Convert to fraction form
    1,170.97/1,615.62 = 728.71/x
  3. Step 3: Cross multiply
    1,170.97x = 1,615.62 × 728.71
  4. Step 4: Simplify right side
    1,170.97x = 1,177,318.45
  5. Step 5: Solve for x
    x = 1,177,318.45/1,170.97
  6. Step 6: Final answer
    x = 1,005.42

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1.5x scale

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.