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Finding the Fourth Proportional to 638.69, 957.45 and 378.37

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Solution

The fourth proportional to 638.69, 957.45 and 378.37 is: 567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.69 : 957.45 = 378.37 : x
  2. Step 2: Convert to fraction form
    638.69/957.45 = 378.37/x
  3. Step 3: Cross multiply
    638.69x = 957.45 × 378.37
  4. Step 4: Simplify right side
    638.69x = 362,272.97
  5. Step 5: Solve for x
    x = 362,272.97/638.69
  6. Step 6: Final answer
    x = 567.22

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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.