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Finding the Fourth Proportional to 445.41, 666.36 and 393.46

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Solution

The fourth proportional to 445.41, 666.36 and 393.46 is: 588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.41 : 666.36 = 393.46 : x
  2. Step 2: Convert to fraction form
    445.41/666.36 = 393.46/x
  3. Step 3: Cross multiply
    445.41x = 666.36 × 393.46
  4. Step 4: Simplify right side
    445.41x = 262,184.04
  5. Step 5: Solve for x
    x = 262,184.04/445.41
  6. Step 6: Final answer
    x = 588.64

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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.