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Finding the Fourth Proportional to 434.49, 647.48 and 422.61

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Solution

The fourth proportional to 434.49, 647.48 and 422.61 is: 629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.49 : 647.48 = 422.61 : x
  2. Step 2: Convert to fraction form
    434.49/647.48 = 422.61/x
  3. Step 3: Cross multiply
    434.49x = 647.48 × 422.61
  4. Step 4: Simplify right side
    434.49x = 273,631.52
  5. Step 5: Solve for x
    x = 273,631.52/434.49
  6. Step 6: Final answer
    x = 629.78

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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.