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Finding the Fourth Proportional to 808.27, 1,212.56 and 260.41

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Solution

The fourth proportional to 808.27, 1,212.56 and 260.41 is: 390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.27 : 1,212.56 = 260.41 : x
  2. Step 2: Convert to fraction form
    808.27/1,212.56 = 260.41/x
  3. Step 3: Cross multiply
    808.27x = 1,212.56 × 260.41
  4. Step 4: Simplify right side
    808.27x = 315,762.75
  5. Step 5: Solve for x
    x = 315,762.75/808.27
  6. Step 6: Final answer
    x = 390.66

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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.