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Finding the Fourth Proportional to 464.52, 641.34 and 359.42

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Solution

The fourth proportional to 464.52, 641.34 and 359.42 is: 496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.52 : 641.34 = 359.42 : x
  2. Step 2: Convert to fraction form
    464.52/641.34 = 359.42/x
  3. Step 3: Cross multiply
    464.52x = 641.34 × 359.42
  4. Step 4: Simplify right side
    464.52x = 230,510.42
  5. Step 5: Solve for x
    x = 230,510.42/464.52
  6. Step 6: Final answer
    x = 496.23

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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.