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Finding the Fourth Proportional to 459.43, 634.07 and 319.51

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Solution

The fourth proportional to 459.43, 634.07 and 319.51 is: 440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.43 : 634.07 = 319.51 : x
  2. Step 2: Convert to fraction form
    459.43/634.07 = 319.51/x
  3. Step 3: Cross multiply
    459.43x = 634.07 × 319.51
  4. Step 4: Simplify right side
    459.43x = 202,591.71
  5. Step 5: Solve for x
    x = 202,591.71/459.43
  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.