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Finding the Fourth Proportional to 640.61, 884.01 and 378.62

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Solution

The fourth proportional to 640.61, 884.01 and 378.62 is: 522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.61 : 884.01 = 378.62 : x
  2. Step 2: Convert to fraction form
    640.61/884.01 = 378.62/x
  3. Step 3: Cross multiply
    640.61x = 884.01 × 378.62
  4. Step 4: Simplify right side
    640.61x = 334,703.87
  5. Step 5: Solve for x
    x = 334,703.87/640.61
  6. Step 6: Final answer
    x = 522.48

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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.