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Finding the Fourth Proportional to 780.85, 1,171.38 and 233.20

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Solution

The fourth proportional to 780.85, 1,171.38 and 233.20 is: 349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.85 : 1,171.38 = 233.20 : x
  2. Step 2: Convert to fraction form
    780.85/1,171.38 = 233.20/x
  3. Step 3: Cross multiply
    780.85x = 1,171.38 × 233.20
  4. Step 4: Simplify right side
    780.85x = 273,159.96
  5. Step 5: Solve for x
    x = 273,159.96/780.85
  6. Step 6: Final answer
    x = 349.83

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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.