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Finding the Fourth Proportional to 1,008.25, 1,390.63 and 676.10

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Solution

The fourth proportional to 1,008.25, 1,390.63 and 676.10 is: 932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.25 : 1,390.63 = 676.10 : x
  2. Step 2: Convert to fraction form
    1,008.25/1,390.63 = 676.10/x
  3. Step 3: Cross multiply
    1,008.25x = 1,390.63 × 676.10
  4. Step 4: Simplify right side
    1,008.25x = 940,198.27
  5. Step 5: Solve for x
    x = 940,198.27/1,008.25
  6. Step 6: Final answer
    x = 932.51

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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.