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Finding the Fourth Proportional to 637.62, 879.72 and 401.46

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Solution

The fourth proportional to 637.62, 879.72 and 401.46 is: 553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.62 : 879.72 = 401.46 : x
  2. Step 2: Convert to fraction form
    637.62/879.72 = 401.46/x
  3. Step 3: Cross multiply
    637.62x = 879.72 × 401.46
  4. Step 4: Simplify right side
    637.62x = 353,172.39
  5. Step 5: Solve for x
    x = 353,172.39/637.62
  6. Step 6: Final answer
    x = 553.89

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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.