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Finding the Fourth Proportional to 626.80, 938.34 and 465.20

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Solution

The fourth proportional to 626.80, 938.34 and 465.20 is: 696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.80 : 938.34 = 465.20 : x
  2. Step 2: Convert to fraction form
    626.80/938.34 = 465.20/x
  3. Step 3: Cross multiply
    626.80x = 938.34 × 465.20
  4. Step 4: Simplify right side
    626.80x = 436,515.77
  5. Step 5: Solve for x
    x = 436,515.77/626.80
  6. Step 6: Final answer
    x = 696.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.