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Finding the Fourth Proportional to 743.68, 1,115.55 and 195.86

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Solution

The fourth proportional to 743.68, 1,115.55 and 195.86 is: 293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.68 : 1,115.55 = 195.86 : x
  2. Step 2: Convert to fraction form
    743.68/1,115.55 = 195.86/x
  3. Step 3: Cross multiply
    743.68x = 1,115.55 × 195.86
  4. Step 4: Simplify right side
    743.68x = 218,491.62
  5. Step 5: Solve for x
    x = 218,491.62/743.68
  6. Step 6: Final answer
    x = 293.80

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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.