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Finding the Fourth Proportional to 640.50, 884.21 and 456.82

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Solution

The fourth proportional to 640.50, 884.21 and 456.82 is: 630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.50 : 884.21 = 456.82 : x
  2. Step 2: Convert to fraction form
    640.50/884.21 = 456.82/x
  3. Step 3: Cross multiply
    640.50x = 884.21 × 456.82
  4. Step 4: Simplify right side
    640.50x = 403,924.81
  5. Step 5: Solve for x
    x = 403,924.81/640.50
  6. Step 6: Final answer
    x = 630.64

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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.