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Finding the Fourth Proportional to 458.43, 688.22 and 382.32

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Solution

The fourth proportional to 458.43, 688.22 and 382.32 is: 573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.43 : 688.22 = 382.32 : x
  2. Step 2: Convert to fraction form
    458.43/688.22 = 382.32/x
  3. Step 3: Cross multiply
    458.43x = 688.22 × 382.32
  4. Step 4: Simplify right side
    458.43x = 263,118.36
  5. Step 5: Solve for x
    x = 263,118.36/458.43
  6. Step 6: Final answer
    x = 573.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.