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Finding the Fourth Proportional to 1,001.97, 1,499.31 and 827.01

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Solution

The fourth proportional to 1,001.97, 1,499.31 and 827.01 is: 1,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.97 : 1,499.31 = 827.01 : x
  2. Step 2: Convert to fraction form
    1,001.97/1,499.31 = 827.01/x
  3. Step 3: Cross multiply
    1,001.97x = 1,499.31 × 827.01
  4. Step 4: Simplify right side
    1,001.97x = 1,239,944.36
  5. Step 5: Solve for x
    x = 1,239,944.36/1,001.97
  6. Step 6: Final answer
    x = 1,237.51

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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.