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Finding the Fourth Proportional to 479.48, 665.20 and 462.20

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Solution

The fourth proportional to 479.48, 665.20 and 462.20 is: 641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.48 : 665.20 = 462.20 : x
  2. Step 2: Convert to fraction form
    479.48/665.20 = 462.20/x
  3. Step 3: Cross multiply
    479.48x = 665.20 × 462.20
  4. Step 4: Simplify right side
    479.48x = 307,455.44
  5. Step 5: Solve for x
    x = 307,455.44/479.48
  6. Step 6: Final answer
    x = 641.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.