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Finding the Fourth Proportional to 459.12, 633.78 and 319.44

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Solution

The fourth proportional to 459.12, 633.78 and 319.44 is: 440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.12 : 633.78 = 319.44 : x
  2. Step 2: Convert to fraction form
    459.12/633.78 = 319.44/x
  3. Step 3: Cross multiply
    459.12x = 633.78 × 319.44
  4. Step 4: Simplify right side
    459.12x = 202,454.68
  5. Step 5: Solve for x
    x = 202,454.68/459.12
  6. Step 6: Final answer
    x = 440.96

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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.