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Finding the Fourth Proportional to 459.57, 684.33 and 447.96

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Solution

The fourth proportional to 459.57, 684.33 and 447.96 is: 667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.57 : 684.33 = 447.96 : x
  2. Step 2: Convert to fraction form
    459.57/684.33 = 447.96/x
  3. Step 3: Cross multiply
    459.57x = 684.33 × 447.96
  4. Step 4: Simplify right side
    459.57x = 306,552.47
  5. Step 5: Solve for x
    x = 306,552.47/459.57
  6. Step 6: Final answer
    x = 667.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.