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Finding the Fourth Proportional to 458.48, 682.84 and 445.70

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Solution

The fourth proportional to 458.48, 682.84 and 445.70 is: 663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.48 : 682.84 = 445.70 : x
  2. Step 2: Convert to fraction form
    458.48/682.84 = 445.70/x
  3. Step 3: Cross multiply
    458.48x = 682.84 × 445.70
  4. Step 4: Simplify right side
    458.48x = 304,341.79
  5. Step 5: Solve for x
    x = 304,341.79/458.48
  6. Step 6: Final answer
    x = 663.81

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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.