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Finding the Fourth Proportional to 807.26, 1,113.29 and 682.79

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Solution

The fourth proportional to 807.26, 1,113.29 and 682.79 is: 941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.26 : 1,113.29 = 682.79 : x
  2. Step 2: Convert to fraction form
    807.26/1,113.29 = 682.79/x
  3. Step 3: Cross multiply
    807.26x = 1,113.29 × 682.79
  4. Step 4: Simplify right side
    807.26x = 760,134.30
  5. Step 5: Solve for x
    x = 760,134.30/807.26
  6. Step 6: Final answer
    x = 941.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.