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Finding the Fourth Proportional to 808.11, 1,114.13 and 782.60

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Solution

The fourth proportional to 808.11, 1,114.13 and 782.60 is: 1,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.11 : 1,114.13 = 782.60 : x
  2. Step 2: Convert to fraction form
    808.11/1,114.13 = 782.60/x
  3. Step 3: Cross multiply
    808.11x = 1,114.13 × 782.60
  4. Step 4: Simplify right side
    808.11x = 871,908.65
  5. Step 5: Solve for x
    x = 871,908.65/808.11
  6. Step 6: Final answer
    x = 1,078.95

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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.