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Finding the Fourth Proportional to 464.65, 641.10 and 317.36

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Solution

The fourth proportional to 464.65, 641.10 and 317.36 is: 437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.65 : 641.10 = 317.36 : x
  2. Step 2: Convert to fraction form
    464.65/641.10 = 317.36/x
  3. Step 3: Cross multiply
    464.65x = 641.10 × 317.36
  4. Step 4: Simplify right side
    464.65x = 203,459.50
  5. Step 5: Solve for x
    x = 203,459.50/464.65
  6. Step 6: Final answer
    x = 437.88

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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.