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Finding the Fourth Proportional to 1,006.51, 1,387.92 and 867.01

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Solution

The fourth proportional to 1,006.51, 1,387.92 and 867.01 is: 1,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.51 : 1,387.92 = 867.01 : x
  2. Step 2: Convert to fraction form
    1,006.51/1,387.92 = 867.01/x
  3. Step 3: Cross multiply
    1,006.51x = 1,387.92 × 867.01
  4. Step 4: Simplify right side
    1,006.51x = 1,203,340.52
  5. Step 5: Solve for x
    x = 1,203,340.52/1,006.51
  6. Step 6: Final answer
    x = 1,195.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.