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Finding the Fourth Proportional to 446.43, 666.35 and 394.53

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Solution

The fourth proportional to 446.43, 666.35 and 394.53 is: 588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.43 : 666.35 = 394.53 : x
  2. Step 2: Convert to fraction form
    446.43/666.35 = 394.53/x
  3. Step 3: Cross multiply
    446.43x = 666.35 × 394.53
  4. Step 4: Simplify right side
    446.43x = 262,895.07
  5. Step 5: Solve for x
    x = 262,895.07/446.43
  6. Step 6: Final answer
    x = 588.88

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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.