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Finding the Fourth Proportional to 836.83, 1,249.78 and 699.99

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Solution

The fourth proportional to 836.83, 1,249.78 and 699.99 is: 1,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.83 : 1,249.78 = 699.99 : x
  2. Step 2: Convert to fraction form
    836.83/1,249.78 = 699.99/x
  3. Step 3: Cross multiply
    836.83x = 1,249.78 × 699.99
  4. Step 4: Simplify right side
    836.83x = 874,835.41
  5. Step 5: Solve for x
    x = 874,835.41/836.83
  6. Step 6: Final answer
    x = 1,045.41

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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.