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Finding the Fourth Proportional to 765.08, 1,141.01 and 650.27

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Solution

The fourth proportional to 765.08, 1,141.01 and 650.27 is: 969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.08 : 1,141.01 = 650.27 : x
  2. Step 2: Convert to fraction form
    765.08/1,141.01 = 650.27/x
  3. Step 3: Cross multiply
    765.08x = 1,141.01 × 650.27
  4. Step 4: Simplify right side
    765.08x = 741,964.57
  5. Step 5: Solve for x
    x = 741,964.57/765.08
  6. Step 6: Final answer
    x = 969.79

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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.