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Finding the Fourth Proportional to 814.36, 1,121.34 and 648.04

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Solution

The fourth proportional to 814.36, 1,121.34 and 648.04 is: 892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.36 : 1,121.34 = 648.04 : x
  2. Step 2: Convert to fraction form
    814.36/1,121.34 = 648.04/x
  3. Step 3: Cross multiply
    814.36x = 1,121.34 × 648.04
  4. Step 4: Simplify right side
    814.36x = 726,673.17
  5. Step 5: Solve for x
    x = 726,673.17/814.36
  6. Step 6: Final answer
    x = 892.32

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1.5x scale

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.