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Finding the Fourth Proportional to 807.28, 1,203.84 and 762.82

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Solution

The fourth proportional to 807.28, 1,203.84 and 762.82 is: 1,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.28 : 1,203.84 = 762.82 : x
  2. Step 2: Convert to fraction form
    807.28/1,203.84 = 762.82/x
  3. Step 3: Cross multiply
    807.28x = 1,203.84 × 762.82
  4. Step 4: Simplify right side
    807.28x = 918,313.23
  5. Step 5: Solve for x
    x = 918,313.23/807.28
  6. Step 6: Final answer
    x = 1,137.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.