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Finding the Fourth Proportional to 797.39, 1,195.66 and 431.88

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Solution

The fourth proportional to 797.39, 1,195.66 and 431.88 is: 647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.39 : 1,195.66 = 431.88 : x
  2. Step 2: Convert to fraction form
    797.39/1,195.66 = 431.88/x
  3. Step 3: Cross multiply
    797.39x = 1,195.66 × 431.88
  4. Step 4: Simplify right side
    797.39x = 516,381.64
  5. Step 5: Solve for x
    x = 516,381.64/797.39
  6. Step 6: Final answer
    x = 647.59

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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.