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Finding the Fourth Proportional to 479.92, 657.50 and 462.64

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Solution

The fourth proportional to 479.92, 657.50 and 462.64 is: 633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.92 : 657.50 = 462.64 : x
  2. Step 2: Convert to fraction form
    479.92/657.50 = 462.64/x
  3. Step 3: Cross multiply
    479.92x = 657.50 × 462.64
  4. Step 4: Simplify right side
    479.92x = 304,185.80
  5. Step 5: Solve for x
    x = 304,185.80/479.92
  6. Step 6: Final answer
    x = 633.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.