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Finding the Fourth Proportional to 806.56, 1,202.28 and 754.62

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Solution

The fourth proportional to 806.56, 1,202.28 and 754.62 is: 1,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.56 : 1,202.28 = 754.62 : x
  2. Step 2: Convert to fraction form
    806.56/1,202.28 = 754.62/x
  3. Step 3: Cross multiply
    806.56x = 1,202.28 × 754.62
  4. Step 4: Simplify right side
    806.56x = 907,257.20
  5. Step 5: Solve for x
    x = 907,257.20/806.56
  6. Step 6: Final answer
    x = 1,124.85

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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.