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Finding the Fourth Proportional to 626.10, 936.90 and 464.10

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Solution

The fourth proportional to 626.10, 936.90 and 464.10 is: 694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.10 : 936.90 = 464.10 : x
  2. Step 2: Convert to fraction form
    626.10/936.90 = 464.10/x
  3. Step 3: Cross multiply
    626.10x = 936.90 × 464.10
  4. Step 4: Simplify right side
    626.10x = 434,815.29
  5. Step 5: Solve for x
    x = 434,815.29/626.10
  6. Step 6: Final answer
    x = 694.48

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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.