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Finding the Fourth Proportional to 780.94, 1,171.31 and 203.82

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Solution

The fourth proportional to 780.94, 1,171.31 and 203.82 is: 305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.94 : 1,171.31 = 203.82 : x
  2. Step 2: Convert to fraction form
    780.94/1,171.31 = 203.82/x
  3. Step 3: Cross multiply
    780.94x = 1,171.31 × 203.82
  4. Step 4: Simplify right side
    780.94x = 238,732.14
  5. Step 5: Solve for x
    x = 238,732.14/780.94
  6. Step 6: Final answer
    x = 305.70

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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.