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Finding the Fourth Proportional to 808.94, 1,115.05 and 612.11

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Solution

The fourth proportional to 808.94, 1,115.05 and 612.11 is: 843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.94 : 1,115.05 = 612.11 : x
  2. Step 2: Convert to fraction form
    808.94/1,115.05 = 612.11/x
  3. Step 3: Cross multiply
    808.94x = 1,115.05 × 612.11
  4. Step 4: Simplify right side
    808.94x = 682,531.48
  5. Step 5: Solve for x
    x = 682,531.48/808.94
  6. Step 6: Final answer
    x = 843.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.