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Finding the Fourth Proportional to 1,044.36, 1,563.42 and 679.32

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Solution

The fourth proportional to 1,044.36, 1,563.42 and 679.32 is: 1,016.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.36 : 1,563.42 = 679.32 : x
  2. Step 2: Convert to fraction form
    1,044.36/1,563.42 = 679.32/x
  3. Step 3: Cross multiply
    1,044.36x = 1,563.42 × 679.32
  4. Step 4: Simplify right side
    1,044.36x = 1,062,062.47
  5. Step 5: Solve for x
    x = 1,062,062.47/1,044.36
  6. Step 6: Final answer
    x = 1,016.95

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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.