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Finding the Fourth Proportional to 458.07, 682.10 and 446.46

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Solution

The fourth proportional to 458.07, 682.10 and 446.46 is: 664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.07 : 682.10 = 446.46 : x
  2. Step 2: Convert to fraction form
    458.07/682.10 = 446.46/x
  3. Step 3: Cross multiply
    458.07x = 682.10 × 446.46
  4. Step 4: Simplify right side
    458.07x = 304,528.13
  5. Step 5: Solve for x
    x = 304,528.13/458.07
  6. Step 6: Final answer
    x = 664.81

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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.