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Finding the Fourth Proportional to 438.67, 600.98 and 422.26

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Solution

The fourth proportional to 438.67, 600.98 and 422.26 is: 578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.67 : 600.98 = 422.26 : x
  2. Step 2: Convert to fraction form
    438.67/600.98 = 422.26/x
  3. Step 3: Cross multiply
    438.67x = 600.98 × 422.26
  4. Step 4: Simplify right side
    438.67x = 253,769.81
  5. Step 5: Solve for x
    x = 253,769.81/438.67
  6. Step 6: Final answer
    x = 578.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.