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Finding the Fourth Proportional to 869.08, 1,304.16 and 694.12

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Solution

The fourth proportional to 869.08, 1,304.16 and 694.12 is: 1,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.08 : 1,304.16 = 694.12 : x
  2. Step 2: Convert to fraction form
    869.08/1,304.16 = 694.12/x
  3. Step 3: Cross multiply
    869.08x = 1,304.16 × 694.12
  4. Step 4: Simplify right side
    869.08x = 905,243.54
  5. Step 5: Solve for x
    x = 905,243.54/869.08
  6. Step 6: Final answer
    x = 1,041.61

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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.