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Finding the Fourth Proportional to 797.49, 1,188.41 and 771.39

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Solution

The fourth proportional to 797.49, 1,188.41 and 771.39 is: 1,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.49 : 1,188.41 = 771.39 : x
  2. Step 2: Convert to fraction form
    797.49/1,188.41 = 771.39/x
  3. Step 3: Cross multiply
    797.49x = 1,188.41 × 771.39
  4. Step 4: Simplify right side
    797.49x = 916,723.73
  5. Step 5: Solve for x
    x = 916,723.73/797.49
  6. Step 6: Final answer
    x = 1,149.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.