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Finding the Fourth Proportional to 481.60, 663.08 and 407.76

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Solution

The fourth proportional to 481.60, 663.08 and 407.76 is: 561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.60 : 663.08 = 407.76 : x
  2. Step 2: Convert to fraction form
    481.60/663.08 = 407.76/x
  3. Step 3: Cross multiply
    481.60x = 663.08 × 407.76
  4. Step 4: Simplify right side
    481.60x = 270,377.50
  5. Step 5: Solve for x
    x = 270,377.50/481.60
  6. Step 6: Final answer
    x = 561.42

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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.