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Finding the Fourth Proportional to 671.65, 926.52 and 422.50

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Solution

The fourth proportional to 671.65, 926.52 and 422.50 is: 582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.65 : 926.52 = 422.50 : x
  2. Step 2: Convert to fraction form
    671.65/926.52 = 422.50/x
  3. Step 3: Cross multiply
    671.65x = 926.52 × 422.50
  4. Step 4: Simplify right side
    671.65x = 391,453.97
  5. Step 5: Solve for x
    x = 391,453.97/671.65
  6. Step 6: Final answer
    x = 582.83

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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.