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Finding the Fourth Proportional to 637.39, 878.71 and 427.20

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Solution

The fourth proportional to 637.39, 878.71 and 427.20 is: 588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.39 : 878.71 = 427.20 : x
  2. Step 2: Convert to fraction form
    637.39/878.71 = 427.20/x
  3. Step 3: Cross multiply
    637.39x = 878.71 × 427.20
  4. Step 4: Simplify right side
    637.39x = 375,384.91
  5. Step 5: Solve for x
    x = 375,384.91/637.39
  6. Step 6: Final answer
    x = 588.94

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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.