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Finding the Fourth Proportional to 807.26, 1,209.62 and 644.90

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Solution

The fourth proportional to 807.26, 1,209.62 and 644.90 is: 966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.26 : 1,209.62 = 644.90 : x
  2. Step 2: Convert to fraction form
    807.26/1,209.62 = 644.90/x
  3. Step 3: Cross multiply
    807.26x = 1,209.62 × 644.90
  4. Step 4: Simplify right side
    807.26x = 780,083.94
  5. Step 5: Solve for x
    x = 780,083.94/807.26
  6. Step 6: Final answer
    x = 966.34

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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.