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Finding the Fourth Proportional to 626.48, 938.82 and 460.65

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Solution

The fourth proportional to 626.48, 938.82 and 460.65 is: 690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.48 : 938.82 = 460.65 : x
  2. Step 2: Convert to fraction form
    626.48/938.82 = 460.65/x
  3. Step 3: Cross multiply
    626.48x = 938.82 × 460.65
  4. Step 4: Simplify right side
    626.48x = 432,467.43
  5. Step 5: Solve for x
    x = 432,467.43/626.48
  6. Step 6: Final answer
    x = 690.31

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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.