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Finding the Fourth Proportional to 823.32, 1,238.94 and 678.12

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Solution

The fourth proportional to 823.32, 1,238.94 and 678.12 is: 1,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.32 : 1,238.94 = 678.12 : x
  2. Step 2: Convert to fraction form
    823.32/1,238.94 = 678.12/x
  3. Step 3: Cross multiply
    823.32x = 1,238.94 × 678.12
  4. Step 4: Simplify right side
    823.32x = 840,149.99
  5. Step 5: Solve for x
    x = 840,149.99/823.32
  6. Step 6: Final answer
    x = 1,020.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.