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Finding the Fourth Proportional to 1,001, 1,501.50 and 270.52

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Solution

The fourth proportional to 1,001, 1,501.50 and 270.52 is: 405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001 : 1,501.50 = 270.52 : x
  2. Step 2: Convert to fraction form
    1,001/1,501.50 = 270.52/x
  3. Step 3: Cross multiply
    1,001x = 1,501.50 × 270.52
  4. Step 4: Simplify right side
    1,001x = 406,185.78
  5. Step 5: Solve for x
    x = 406,185.78/1,001
  6. Step 6: Final answer
    x = 405.78

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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.