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Finding the Fourth Proportional to 637.10, 878.90 and 401.14

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Solution

The fourth proportional to 637.10, 878.90 and 401.14 is: 553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.10 : 878.90 = 401.14 : x
  2. Step 2: Convert to fraction form
    637.10/878.90 = 401.14/x
  3. Step 3: Cross multiply
    637.10x = 878.90 × 401.14
  4. Step 4: Simplify right side
    637.10x = 352,561.95
  5. Step 5: Solve for x
    x = 352,561.95/637.10
  6. Step 6: Final answer
    x = 553.39

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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.