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Finding the Fourth Proportional to 808.82, 1,213.15 and 260.85

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Solution

The fourth proportional to 808.82, 1,213.15 and 260.85 is: 391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.82 : 1,213.15 = 260.85 : x
  2. Step 2: Convert to fraction form
    808.82/1,213.15 = 260.85/x
  3. Step 3: Cross multiply
    808.82x = 1,213.15 × 260.85
  4. Step 4: Simplify right side
    808.82x = 316,450.18
  5. Step 5: Solve for x
    x = 316,450.18/808.82
  6. Step 6: Final answer
    x = 391.25

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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.