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Finding the Fourth Proportional to 464.96, 640.98 and 287.82

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Solution

The fourth proportional to 464.96, 640.98 and 287.82 is: 396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.96 : 640.98 = 287.82 : x
  2. Step 2: Convert to fraction form
    464.96/640.98 = 287.82/x
  3. Step 3: Cross multiply
    464.96x = 640.98 × 287.82
  4. Step 4: Simplify right side
    464.96x = 184,486.86
  5. Step 5: Solve for x
    x = 184,486.86/464.96
  6. Step 6: Final answer
    x = 396.78

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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.