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Finding the Fourth Proportional to 892.89, 1,331.91 and 800.55

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Solution

The fourth proportional to 892.89, 1,331.91 and 800.55 is: 1,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.89 : 1,331.91 = 800.55 : x
  2. Step 2: Convert to fraction form
    892.89/1,331.91 = 800.55/x
  3. Step 3: Cross multiply
    892.89x = 1,331.91 × 800.55
  4. Step 4: Simplify right side
    892.89x = 1,066,260.55
  5. Step 5: Solve for x
    x = 1,066,260.55/892.89
  6. Step 6: Final answer
    x = 1,194.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.