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Finding the Fourth Proportional to 811.89, 1,122.12 and 615.06

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Solution

The fourth proportional to 811.89, 1,122.12 and 615.06 is: 850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.89 : 1,122.12 = 615.06 : x
  2. Step 2: Convert to fraction form
    811.89/1,122.12 = 615.06/x
  3. Step 3: Cross multiply
    811.89x = 1,122.12 × 615.06
  4. Step 4: Simplify right side
    811.89x = 690,171.13
  5. Step 5: Solve for x
    x = 690,171.13/811.89
  6. Step 6: Final answer
    x = 850.08

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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.