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Finding the Fourth Proportional to 467.55, 640.60 and 461.78

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Solution

The fourth proportional to 467.55, 640.60 and 461.78 is: 632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.55 : 640.60 = 461.78 : x
  2. Step 2: Convert to fraction form
    467.55/640.60 = 461.78/x
  3. Step 3: Cross multiply
    467.55x = 640.60 × 461.78
  4. Step 4: Simplify right side
    467.55x = 295,816.27
  5. Step 5: Solve for x
    x = 295,816.27/467.55
  6. Step 6: Final answer
    x = 632.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.