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Finding the Fourth Proportional to 792.42, 1,188.89 and 561.77

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Solution

The fourth proportional to 792.42, 1,188.89 and 561.77 is: 842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.42 : 1,188.89 = 561.77 : x
  2. Step 2: Convert to fraction form
    792.42/1,188.89 = 561.77/x
  3. Step 3: Cross multiply
    792.42x = 1,188.89 × 561.77
  4. Step 4: Simplify right side
    792.42x = 667,873.98
  5. Step 5: Solve for x
    x = 667,873.98/792.42
  6. Step 6: Final answer
    x = 842.83

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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.