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Finding the Fourth Proportional to 804.56, 1,201.06 and 769.10

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Solution

The fourth proportional to 804.56, 1,201.06 and 769.10 is: 1,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.56 : 1,201.06 = 769.10 : x
  2. Step 2: Convert to fraction form
    804.56/1,201.06 = 769.10/x
  3. Step 3: Cross multiply
    804.56x = 1,201.06 × 769.10
  4. Step 4: Simplify right side
    804.56x = 923,730.20
  5. Step 5: Solve for x
    x = 923,730.20/804.56
  6. Step 6: Final answer
    x = 1,148.13

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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.