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Finding the Fourth Proportional to 836.21, 1,249.71 and 770.53

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Solution

The fourth proportional to 836.21, 1,249.71 and 770.53 is: 1,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.21 : 1,249.71 = 770.53 : x
  2. Step 2: Convert to fraction form
    836.21/1,249.71 = 770.53/x
  3. Step 3: Cross multiply
    836.21x = 1,249.71 × 770.53
  4. Step 4: Simplify right side
    836.21x = 962,939.05
  5. Step 5: Solve for x
    x = 962,939.05/836.21
  6. Step 6: Final answer
    x = 1,151.55

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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.