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Finding the Fourth Proportional to 464.92, 641.35 and 317.32

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Solution

The fourth proportional to 464.92, 641.35 and 317.32 is: 437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.92 : 641.35 = 317.32 : x
  2. Step 2: Convert to fraction form
    464.92/641.35 = 317.32/x
  3. Step 3: Cross multiply
    464.92x = 641.35 × 317.32
  4. Step 4: Simplify right side
    464.92x = 203,513.18
  5. Step 5: Solve for x
    x = 203,513.18/464.92
  6. Step 6: Final answer
    x = 437.74

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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.