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Finding the Fourth Proportional to 662.48, 913.83 and 422.78

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Solution

The fourth proportional to 662.48, 913.83 and 422.78 is: 583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.48 : 913.83 = 422.78 : x
  2. Step 2: Convert to fraction form
    662.48/913.83 = 422.78/x
  3. Step 3: Cross multiply
    662.48x = 913.83 × 422.78
  4. Step 4: Simplify right side
    662.48x = 386,344.48
  5. Step 5: Solve for x
    x = 386,344.48/662.48
  6. Step 6: Final answer
    x = 583.18

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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.