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Finding the Fourth Proportional to 1,005.44, 1,387.04 and 673.97

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Solution

The fourth proportional to 1,005.44, 1,387.04 and 673.97 is: 929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.44 : 1,387.04 = 673.97 : x
  2. Step 2: Convert to fraction form
    1,005.44/1,387.04 = 673.97/x
  3. Step 3: Cross multiply
    1,005.44x = 1,387.04 × 673.97
  4. Step 4: Simplify right side
    1,005.44x = 934,813.04
  5. Step 5: Solve for x
    x = 934,813.04/1,005.44
  6. Step 6: Final answer
    x = 929.76

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