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Finding the Fourth Proportional to 479.72, 662.18 and 464.33

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Solution

The fourth proportional to 479.72, 662.18 and 464.33 is: 640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.72 : 662.18 = 464.33 : x
  2. Step 2: Convert to fraction form
    479.72/662.18 = 464.33/x
  3. Step 3: Cross multiply
    479.72x = 662.18 × 464.33
  4. Step 4: Simplify right side
    479.72x = 307,464.41
  5. Step 5: Solve for x
    x = 307,464.41/479.72
  6. Step 6: Final answer
    x = 640.93

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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.