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Finding the Fourth Proportional to 1,170.25, 1,613.62 and 727.58

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Solution

The fourth proportional to 1,170.25, 1,613.62 and 727.58 is: 1,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.25 : 1,613.62 = 727.58 : x
  2. Step 2: Convert to fraction form
    1,170.25/1,613.62 = 727.58/x
  3. Step 3: Cross multiply
    1,170.25x = 1,613.62 × 727.58
  4. Step 4: Simplify right side
    1,170.25x = 1,174,042.58
  5. Step 5: Solve for x
    x = 1,174,042.58/1,170.25
  6. Step 6: Final answer
    x = 1,003.24

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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.