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Finding the Fourth Proportional to 797.98, 1,195.25 and 431.99

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Solution

The fourth proportional to 797.98, 1,195.25 and 431.99 is: 647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.98 : 1,195.25 = 431.99 : x
  2. Step 2: Convert to fraction form
    797.98/1,195.25 = 431.99/x
  3. Step 3: Cross multiply
    797.98x = 1,195.25 × 431.99
  4. Step 4: Simplify right side
    797.98x = 516,336.88
  5. Step 5: Solve for x
    x = 516,336.88/797.98
  6. Step 6: Final answer
    x = 647.06

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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.