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Finding the Fourth Proportional to 671.49, 926.90 and 422.80

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Solution

The fourth proportional to 671.49, 926.90 and 422.80 is: 583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.49 : 926.90 = 422.80 : x
  2. Step 2: Convert to fraction form
    671.49/926.90 = 422.80/x
  3. Step 3: Cross multiply
    671.49x = 926.90 × 422.80
  4. Step 4: Simplify right side
    671.49x = 391,890.47
  5. Step 5: Solve for x
    x = 391,890.47/671.49
  6. Step 6: Final answer
    x = 583.61

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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.