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Finding the Fourth Proportional to 1,286.79, 1,930.29 and 465.18

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Solution

The fourth proportional to 1,286.79, 1,930.29 and 465.18 is: 697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.79 : 1,930.29 = 465.18 : x
  2. Step 2: Convert to fraction form
    1,286.79/1,930.29 = 465.18/x
  3. Step 3: Cross multiply
    1,286.79x = 1,930.29 × 465.18
  4. Step 4: Simplify right side
    1,286.79x = 897,932.30
  5. Step 5: Solve for x
    x = 897,932.30/1,286.79
  6. Step 6: Final answer
    x = 697.81

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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.