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Finding the Fourth Proportional to 814.72, 1,216.96 and 685.12

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Solution

The fourth proportional to 814.72, 1,216.96 and 685.12 is: 1,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.72 : 1,216.96 = 685.12 : x
  2. Step 2: Convert to fraction form
    814.72/1,216.96 = 685.12/x
  3. Step 3: Cross multiply
    814.72x = 1,216.96 × 685.12
  4. Step 4: Simplify right side
    814.72x = 833,763.64
  5. Step 5: Solve for x
    x = 833,763.64/814.72
  6. Step 6: Final answer
    x = 1,023.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.