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Finding the Fourth Proportional to 423.32, 626.33 and 422.10

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Solution

The fourth proportional to 423.32, 626.33 and 422.10 is: 624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.32 : 626.33 = 422.10 : x
  2. Step 2: Convert to fraction form
    423.32/626.33 = 422.10/x
  3. Step 3: Cross multiply
    423.32x = 626.33 × 422.10
  4. Step 4: Simplify right side
    423.32x = 264,371.78
  5. Step 5: Solve for x
    x = 264,371.78/423.32
  6. Step 6: Final answer
    x = 624.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.