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Finding the Fourth Proportional to 1,188.74, 1,778.85 and 823.79

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Solution

The fourth proportional to 1,188.74, 1,778.85 and 823.79 is: 1,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.74 : 1,778.85 = 823.79 : x
  2. Step 2: Convert to fraction form
    1,188.74/1,778.85 = 823.79/x
  3. Step 3: Cross multiply
    1,188.74x = 1,778.85 × 823.79
  4. Step 4: Simplify right side
    1,188.74x = 1,465,398.84
  5. Step 5: Solve for x
    x = 1,465,398.84/1,188.74
  6. Step 6: Final answer
    x = 1,232.73

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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.