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Finding the Fourth Proportional to 807.87, 1,209.99 and 662.07

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Solution

The fourth proportional to 807.87, 1,209.99 and 662.07 is: 991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.87 : 1,209.99 = 662.07 : x
  2. Step 2: Convert to fraction form
    807.87/1,209.99 = 662.07/x
  3. Step 3: Cross multiply
    807.87x = 1,209.99 × 662.07
  4. Step 4: Simplify right side
    807.87x = 801,101.38
  5. Step 5: Solve for x
    x = 801,101.38/807.87
  6. Step 6: Final answer
    x = 991.62

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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.