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Finding the Fourth Proportional to 807.72, 1,209.15 and 686.22

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Solution

The fourth proportional to 807.72, 1,209.15 and 686.22 is: 1,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.72 : 1,209.15 = 686.22 : x
  2. Step 2: Convert to fraction form
    807.72/1,209.15 = 686.22/x
  3. Step 3: Cross multiply
    807.72x = 1,209.15 × 686.22
  4. Step 4: Simplify right side
    807.72x = 829,742.91
  5. Step 5: Solve for x
    x = 829,742.91/807.72
  6. Step 6: Final answer
    x = 1,027.27

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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.