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Finding the Fourth Proportional to 640.44, 884.66 and 464.00

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Solution

The fourth proportional to 640.44, 884.66 and 464.00 is: 640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.44 : 884.66 = 464.00 : x
  2. Step 2: Convert to fraction form
    640.44/884.66 = 464.00/x
  3. Step 3: Cross multiply
    640.44x = 884.66 × 464.00
  4. Step 4: Simplify right side
    640.44x = 410,475.50
  5. Step 5: Solve for x
    x = 410,475.50/640.44
  6. Step 6: Final answer
    x = 640.93

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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.