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Finding the Fourth Proportional to 467.08, 640.37 and 458.89

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Solution

The fourth proportional to 467.08, 640.37 and 458.89 is: 629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.08 : 640.37 = 458.89 : x
  2. Step 2: Convert to fraction form
    467.08/640.37 = 458.89/x
  3. Step 3: Cross multiply
    467.08x = 640.37 × 458.89
  4. Step 4: Simplify right side
    467.08x = 293,859.39
  5. Step 5: Solve for x
    x = 293,859.39/467.08
  6. Step 6: Final answer
    x = 629.14

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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.