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Finding the Fourth Proportional to 804.56, 1,207.16 and 803.28

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Solution

The fourth proportional to 804.56, 1,207.16 and 803.28 is: 1,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.56 : 1,207.16 = 803.28 : x
  2. Step 2: Convert to fraction form
    804.56/1,207.16 = 803.28/x
  3. Step 3: Cross multiply
    804.56x = 1,207.16 × 803.28
  4. Step 4: Simplify right side
    804.56x = 969,687.48
  5. Step 5: Solve for x
    x = 969,687.48/804.56
  6. Step 6: Final answer
    x = 1,205.24

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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.