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Finding the Fourth Proportional to 780.86, 1,171.13 and 293.90

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Solution

The fourth proportional to 780.86, 1,171.13 and 293.90 is: 440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.86 : 1,171.13 = 293.90 : x
  2. Step 2: Convert to fraction form
    780.86/1,171.13 = 293.90/x
  3. Step 3: Cross multiply
    780.86x = 1,171.13 × 293.90
  4. Step 4: Simplify right side
    780.86x = 344,195.11
  5. Step 5: Solve for x
    x = 344,195.11/780.86
  6. Step 6: Final answer
    x = 440.79

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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.