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Finding the Fourth Proportional to 467.95, 648.43 and 462.07

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Solution

The fourth proportional to 467.95, 648.43 and 462.07 is: 640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.95 : 648.43 = 462.07 : x
  2. Step 2: Convert to fraction form
    467.95/648.43 = 462.07/x
  3. Step 3: Cross multiply
    467.95x = 648.43 × 462.07
  4. Step 4: Simplify right side
    467.95x = 299,620.05
  5. Step 5: Solve for x
    x = 299,620.05/467.95
  6. Step 6: Final answer
    x = 640.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.