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Finding the Fourth Proportional to 458.29, 683.87 and 447.31

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Solution

The fourth proportional to 458.29, 683.87 and 447.31 is: 667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.29 : 683.87 = 447.31 : x
  2. Step 2: Convert to fraction form
    458.29/683.87 = 447.31/x
  3. Step 3: Cross multiply
    458.29x = 683.87 × 447.31
  4. Step 4: Simplify right side
    458.29x = 305,901.89
  5. Step 5: Solve for x
    x = 305,901.89/458.29
  6. Step 6: Final answer
    x = 667.49

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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.