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Finding the Fourth Proportional to 812.78, 1,121.64 and 463.49

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Solution

The fourth proportional to 812.78, 1,121.64 and 463.49 is: 639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.78 : 1,121.64 = 463.49 : x
  2. Step 2: Convert to fraction form
    812.78/1,121.64 = 463.49/x
  3. Step 3: Cross multiply
    812.78x = 1,121.64 × 463.49
  4. Step 4: Simplify right side
    812.78x = 519,868.92
  5. Step 5: Solve for x
    x = 519,868.92/812.78
  6. Step 6: Final answer
    x = 639.62

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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.