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Finding the Fourth Proportional to 637.89, 879.41 and 427.70

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Solution

The fourth proportional to 637.89, 879.41 and 427.70 is: 589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.89 : 879.41 = 427.70 : x
  2. Step 2: Convert to fraction form
    637.89/879.41 = 427.70/x
  3. Step 3: Cross multiply
    637.89x = 879.41 × 427.70
  4. Step 4: Simplify right side
    637.89x = 376,117.12
  5. Step 5: Solve for x
    x = 376,117.12/637.89
  6. Step 6: Final answer
    x = 589.63

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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.