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Finding the Fourth Proportional to 637.71, 879.82 and 357.90

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Solution

The fourth proportional to 637.71, 879.82 and 357.90 is: 493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.71 : 879.82 = 357.90 : x
  2. Step 2: Convert to fraction form
    637.71/879.82 = 357.90/x
  3. Step 3: Cross multiply
    637.71x = 879.82 × 357.90
  4. Step 4: Simplify right side
    637.71x = 314,889.98
  5. Step 5: Solve for x
    x = 314,889.98/637.71
  6. Step 6: Final answer
    x = 493.78

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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.