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Finding the Fourth Proportional to 637.61, 880.09 and 375.78

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Solution

The fourth proportional to 637.61, 880.09 and 375.78 is: 518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.61 : 880.09 = 375.78 : x
  2. Step 2: Convert to fraction form
    637.61/880.09 = 375.78/x
  3. Step 3: Cross multiply
    637.61x = 880.09 × 375.78
  4. Step 4: Simplify right side
    637.61x = 330,719.28
  5. Step 5: Solve for x
    x = 330,719.28/637.61
  6. Step 6: Final answer
    x = 518.68

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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.