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Finding the Fourth Proportional to 1,001.75, 1,502.56 and 271.27

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Solution

The fourth proportional to 1,001.75, 1,502.56 and 271.27 is: 406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.75 : 1,502.56 = 271.27 : x
  2. Step 2: Convert to fraction form
    1,001.75/1,502.56 = 271.27/x
  3. Step 3: Cross multiply
    1,001.75x = 1,502.56 × 271.27
  4. Step 4: Simplify right side
    1,001.75x = 407,595.02
  5. Step 5: Solve for x
    x = 407,595.02/1,001.75
  6. Step 6: Final answer
    x = 406.89

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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.