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Finding the Fourth Proportional to 467.86, 645.42 and 363.64

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Solution

The fourth proportional to 467.86, 645.42 and 363.64 is: 501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.86 : 645.42 = 363.64 : x
  2. Step 2: Convert to fraction form
    467.86/645.42 = 363.64/x
  3. Step 3: Cross multiply
    467.86x = 645.42 × 363.64
  4. Step 4: Simplify right side
    467.86x = 234,700.53
  5. Step 5: Solve for x
    x = 234,700.53/467.86
  6. Step 6: Final answer
    x = 501.65

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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.