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Finding the Fourth Proportional to 1,001.89, 1,502.72 and 271.54

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Solution

The fourth proportional to 1,001.89, 1,502.72 and 271.54 is: 407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.89 : 1,502.72 = 271.54 : x
  2. Step 2: Convert to fraction form
    1,001.89/1,502.72 = 271.54/x
  3. Step 3: Cross multiply
    1,001.89x = 1,502.72 × 271.54
  4. Step 4: Simplify right side
    1,001.89x = 408,048.59
  5. Step 5: Solve for x
    x = 408,048.59/1,001.89
  6. Step 6: Final answer
    x = 407.28

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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.