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Finding the Fourth Proportional to 807.92, 1,113.72 and 632.96

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Solution

The fourth proportional to 807.92, 1,113.72 and 632.96 is: 872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.92 : 1,113.72 = 632.96 : x
  2. Step 2: Convert to fraction form
    807.92/1,113.72 = 632.96/x
  3. Step 3: Cross multiply
    807.92x = 1,113.72 × 632.96
  4. Step 4: Simplify right side
    807.92x = 704,940.21
  5. Step 5: Solve for x
    x = 704,940.21/807.92
  6. Step 6: Final answer
    x = 872.54

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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.