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Finding the Fourth Proportional to 796.62, 1,195.68 and 431.70

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Solution

The fourth proportional to 796.62, 1,195.68 and 431.70 is: 647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.62 : 1,195.68 = 431.70 : x
  2. Step 2: Convert to fraction form
    796.62/1,195.68 = 431.70/x
  3. Step 3: Cross multiply
    796.62x = 1,195.68 × 431.70
  4. Step 4: Simplify right side
    796.62x = 516,175.06
  5. Step 5: Solve for x
    x = 516,175.06/796.62
  6. Step 6: Final answer
    x = 647.96

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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.