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Finding the Fourth Proportional to 626.98, 865.14 and 361.38

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Solution

The fourth proportional to 626.98, 865.14 and 361.38 is: 498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.98 : 865.14 = 361.38 : x
  2. Step 2: Convert to fraction form
    626.98/865.14 = 361.38/x
  3. Step 3: Cross multiply
    626.98x = 865.14 × 361.38
  4. Step 4: Simplify right side
    626.98x = 312,644.29
  5. Step 5: Solve for x
    x = 312,644.29/626.98
  6. Step 6: Final answer
    x = 498.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.