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Finding the Fourth Proportional to 979.35, 1,469.22 and 431.52

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Solution

The fourth proportional to 979.35, 1,469.22 and 431.52 is: 647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.35 : 1,469.22 = 431.52 : x
  2. Step 2: Convert to fraction form
    979.35/1,469.22 = 431.52/x
  3. Step 3: Cross multiply
    979.35x = 1,469.22 × 431.52
  4. Step 4: Simplify right side
    979.35x = 633,997.81
  5. Step 5: Solve for x
    x = 633,997.81/979.35
  6. Step 6: Final answer
    x = 647.37

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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.