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Finding the Fourth Proportional to 637.37, 878.90 and 471.90

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Solution

The fourth proportional to 637.37, 878.90 and 471.90 is: 650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.37 : 878.90 = 471.90 : x
  2. Step 2: Convert to fraction form
    637.37/878.90 = 471.90/x
  3. Step 3: Cross multiply
    637.37x = 878.90 × 471.90
  4. Step 4: Simplify right side
    637.37x = 414,750.55
  5. Step 5: Solve for x
    x = 414,750.55/637.37
  6. Step 6: Final answer
    x = 650.73

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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.