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Finding the Fourth Proportional to 1,009.13, 1,391.31 and 654.44

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Solution

The fourth proportional to 1,009.13, 1,391.31 and 654.44 is: 902.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.13 : 1,391.31 = 654.44 : x
  2. Step 2: Convert to fraction form
    1,009.13/1,391.31 = 654.44/x
  3. Step 3: Cross multiply
    1,009.13x = 1,391.31 × 654.44
  4. Step 4: Simplify right side
    1,009.13x = 910,528.92
  5. Step 5: Solve for x
    x = 910,528.92/1,009.13
  6. Step 6: Final answer
    x = 902.29

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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.