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Finding the Fourth Proportional to 640.50, 884.05 and 364.66

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Solution

The fourth proportional to 640.50, 884.05 and 364.66 is: 503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.50 : 884.05 = 364.66 : x
  2. Step 2: Convert to fraction form
    640.50/884.05 = 364.66/x
  3. Step 3: Cross multiply
    640.50x = 884.05 × 364.66
  4. Step 4: Simplify right side
    640.50x = 322,377.67
  5. Step 5: Solve for x
    x = 322,377.67/640.50
  6. Step 6: Final answer
    x = 503.32

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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.