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Finding the Fourth Proportional to 797.56, 1,196.69 and 431.92

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Solution

The fourth proportional to 797.56, 1,196.69 and 431.92 is: 648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.56 : 1,196.69 = 431.92 : x
  2. Step 2: Convert to fraction form
    797.56/1,196.69 = 431.92/x
  3. Step 3: Cross multiply
    797.56x = 1,196.69 × 431.92
  4. Step 4: Simplify right side
    797.56x = 516,874.34
  5. Step 5: Solve for x
    x = 516,874.34/797.56
  6. Step 6: Final answer
    x = 648.07

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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.