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Finding the Fourth Proportional to 979.53, 1,469.39 and 286.20

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Solution

The fourth proportional to 979.53, 1,469.39 and 286.20 is: 429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.53 : 1,469.39 = 286.20 : x
  2. Step 2: Convert to fraction form
    979.53/1,469.39 = 286.20/x
  3. Step 3: Cross multiply
    979.53x = 1,469.39 × 286.20
  4. Step 4: Simplify right side
    979.53x = 420,537.99
  5. Step 5: Solve for x
    x = 420,537.99/979.53
  6. Step 6: Final answer
    x = 429.33

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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.