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Finding the Fourth Proportional to 671.63, 926.10 and 422.65

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Solution

The fourth proportional to 671.63, 926.10 and 422.65 is: 582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.63 : 926.10 = 422.65 : x
  2. Step 2: Convert to fraction form
    671.63/926.10 = 422.65/x
  3. Step 3: Cross multiply
    671.63x = 926.10 × 422.65
  4. Step 4: Simplify right side
    671.63x = 391,411.53
  5. Step 5: Solve for x
    x = 391,411.53/671.63
  6. Step 6: Final answer
    x = 582.78

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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.