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Finding the Fourth Proportional to 637.17, 878.95 and 401.05

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Solution

The fourth proportional to 637.17, 878.95 and 401.05 is: 553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.17 : 878.95 = 401.05 : x
  2. Step 2: Convert to fraction form
    637.17/878.95 = 401.05/x
  3. Step 3: Cross multiply
    637.17x = 878.95 × 401.05
  4. Step 4: Simplify right side
    637.17x = 352,502.90
  5. Step 5: Solve for x
    x = 352,502.90/637.17
  6. Step 6: Final answer
    x = 553.23

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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.