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Finding the Fourth Proportional to 640.72, 884.08 and 360.88

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Solution

The fourth proportional to 640.72, 884.08 and 360.88 is: 497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.72 : 884.08 = 360.88 : x
  2. Step 2: Convert to fraction form
    640.72/884.08 = 360.88/x
  3. Step 3: Cross multiply
    640.72x = 884.08 × 360.88
  4. Step 4: Simplify right side
    640.72x = 319,046.79
  5. Step 5: Solve for x
    x = 319,046.79/640.72
  6. Step 6: Final answer
    x = 497.95

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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.