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Finding the Fourth Proportional to 466.46, 642.18 and 404.09

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Solution

The fourth proportional to 466.46, 642.18 and 404.09 is: 556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.46 : 642.18 = 404.09 : x
  2. Step 2: Convert to fraction form
    466.46/642.18 = 404.09/x
  3. Step 3: Cross multiply
    466.46x = 642.18 × 404.09
  4. Step 4: Simplify right side
    466.46x = 259,493.28
  5. Step 5: Solve for x
    x = 259,493.28/466.46
  6. Step 6: Final answer
    x = 556.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.