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Finding the Fourth Proportional to 466.60, 642 and 404.24

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Solution

The fourth proportional to 466.60, 642 and 404.24 is: 556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.60 : 642 = 404.24 : x
  2. Step 2: Convert to fraction form
    466.60/642 = 404.24/x
  3. Step 3: Cross multiply
    466.60x = 642 × 404.24
  4. Step 4: Simplify right side
    466.60x = 259,522.08
  5. Step 5: Solve for x
    x = 259,522.08/466.60
  6. Step 6: Final answer
    x = 556.20

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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.