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Finding the Fourth Proportional to 626.95, 865.14 and 378.19

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Solution

The fourth proportional to 626.95, 865.14 and 378.19 is: 521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.95 : 865.14 = 378.19 : x
  2. Step 2: Convert to fraction form
    626.95/865.14 = 378.19/x
  3. Step 3: Cross multiply
    626.95x = 865.14 × 378.19
  4. Step 4: Simplify right side
    626.95x = 327,182.97
  5. Step 5: Solve for x
    x = 327,182.97/626.95
  6. Step 6: Final answer
    x = 521.87

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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.