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Finding the Fourth Proportional to 464.88, 641.88 and 396.24

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Solution

The fourth proportional to 464.88, 641.88 and 396.24 is: 547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.88 : 641.88 = 396.24 : x
  2. Step 2: Convert to fraction form
    464.88/641.88 = 396.24/x
  3. Step 3: Cross multiply
    464.88x = 641.88 × 396.24
  4. Step 4: Simplify right side
    464.88x = 254,338.53
  5. Step 5: Solve for x
    x = 254,338.53/464.88
  6. Step 6: Final answer
    x = 547.11

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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.