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Finding the Fourth Proportional to 464.48, 641.06 and 317.06

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Solution

The fourth proportional to 464.48, 641.06 and 317.06 is: 437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.48 : 641.06 = 317.06 : x
  2. Step 2: Convert to fraction form
    464.48/641.06 = 317.06/x
  3. Step 3: Cross multiply
    464.48x = 641.06 × 317.06
  4. Step 4: Simplify right side
    464.48x = 203,251.28
  5. Step 5: Solve for x
    x = 203,251.28/464.48
  6. Step 6: Final answer
    x = 437.59

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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.