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Finding the Fourth Proportional to 822.14, 1,134.78 and 490.79

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Solution

The fourth proportional to 822.14, 1,134.78 and 490.79 is: 677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.14 : 1,134.78 = 490.79 : x
  2. Step 2: Convert to fraction form
    822.14/1,134.78 = 490.79/x
  3. Step 3: Cross multiply
    822.14x = 1,134.78 × 490.79
  4. Step 4: Simplify right side
    822.14x = 556,938.68
  5. Step 5: Solve for x
    x = 556,938.68/822.14
  6. Step 6: Final answer
    x = 677.43

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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.