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Finding the Fourth Proportional to 464.62, 640.77 and 298.78

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Solution

The fourth proportional to 464.62, 640.77 and 298.78 is: 412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.62 : 640.77 = 298.78 : x
  2. Step 2: Convert to fraction form
    464.62/640.77 = 298.78/x
  3. Step 3: Cross multiply
    464.62x = 640.77 × 298.78
  4. Step 4: Simplify right side
    464.62x = 191,449.26
  5. Step 5: Solve for x
    x = 191,449.26/464.62
  6. Step 6: Final answer
    x = 412.06

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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.