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Finding the Fourth Proportional to 481.92, 665.64 and 416.40

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Solution

The fourth proportional to 481.92, 665.64 and 416.40 is: 575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.92 : 665.64 = 416.40 : x
  2. Step 2: Convert to fraction form
    481.92/665.64 = 416.40/x
  3. Step 3: Cross multiply
    481.92x = 665.64 × 416.40
  4. Step 4: Simplify right side
    481.92x = 277,172.50
  5. Step 5: Solve for x
    x = 277,172.50/481.92
  6. Step 6: Final answer
    x = 575.14

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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.