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Finding the Fourth Proportional to 1,001.26, 1,501.98 and 270.84

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Solution

The fourth proportional to 1,001.26, 1,501.98 and 270.84 is: 406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.26 : 1,501.98 = 270.84 : x
  2. Step 2: Convert to fraction form
    1,001.26/1,501.98 = 270.84/x
  3. Step 3: Cross multiply
    1,001.26x = 1,501.98 × 270.84
  4. Step 4: Simplify right side
    1,001.26x = 406,796.26
  5. Step 5: Solve for x
    x = 406,796.26/1,001.26
  6. Step 6: Final answer
    x = 406.28

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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.