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Finding the Fourth Proportional to 797.91, 1,196.30 and 407.15

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Solution

The fourth proportional to 797.91, 1,196.30 and 407.15 is: 610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.91 : 1,196.30 = 407.15 : x
  2. Step 2: Convert to fraction form
    797.91/1,196.30 = 407.15/x
  3. Step 3: Cross multiply
    797.91x = 1,196.30 × 407.15
  4. Step 4: Simplify right side
    797.91x = 487,067.56
  5. Step 5: Solve for x
    x = 487,067.56/797.91
  6. Step 6: Final answer
    x = 610.43

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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.