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Finding the Fourth Proportional to 807.23, 1,209.01 and 789.01

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Solution

The fourth proportional to 807.23, 1,209.01 and 789.01 is: 1,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.23 : 1,209.01 = 789.01 : x
  2. Step 2: Convert to fraction form
    807.23/1,209.01 = 789.01/x
  3. Step 3: Cross multiply
    807.23x = 1,209.01 × 789.01
  4. Step 4: Simplify right side
    807.23x = 953,920.98
  5. Step 5: Solve for x
    x = 953,920.98/807.23
  6. Step 6: Final answer
    x = 1,181.72

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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.