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Finding the Fourth Proportional to 637.02, 878.78 and 400.85

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Solution

The fourth proportional to 637.02, 878.78 and 400.85 is: 552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.02 : 878.78 = 400.85 : x
  2. Step 2: Convert to fraction form
    637.02/878.78 = 400.85/x
  3. Step 3: Cross multiply
    637.02x = 878.78 × 400.85
  4. Step 4: Simplify right side
    637.02x = 352,258.96
  5. Step 5: Solve for x
    x = 352,258.96/637.02
  6. Step 6: Final answer
    x = 552.98

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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.