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Finding the Fourth Proportional to 812.54, 1,213.48 and 804.04

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Solution

The fourth proportional to 812.54, 1,213.48 and 804.04 is: 1,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.54 : 1,213.48 = 804.04 : x
  2. Step 2: Convert to fraction form
    812.54/1,213.48 = 804.04/x
  3. Step 3: Cross multiply
    812.54x = 1,213.48 × 804.04
  4. Step 4: Simplify right side
    812.54x = 975,679.91
  5. Step 5: Solve for x
    x = 975,679.91/812.54
  6. Step 6: Final answer
    x = 1,200.77

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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.