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Finding the Fourth Proportional to 626.30, 939.54 and 420.82

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Solution

The fourth proportional to 626.30, 939.54 and 420.82 is: 631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.30 : 939.54 = 420.82 : x
  2. Step 2: Convert to fraction form
    626.30/939.54 = 420.82/x
  3. Step 3: Cross multiply
    626.30x = 939.54 × 420.82
  4. Step 4: Simplify right side
    626.30x = 395,377.22
  5. Step 5: Solve for x
    x = 395,377.22/626.30
  6. Step 6: Final answer
    x = 631.29

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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.