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Finding the Fourth Proportional to 481.60, 663.06 and 407.80

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Solution

The fourth proportional to 481.60, 663.06 and 407.80 is: 561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.60 : 663.06 = 407.80 : x
  2. Step 2: Convert to fraction form
    481.60/663.06 = 407.80/x
  3. Step 3: Cross multiply
    481.60x = 663.06 × 407.80
  4. Step 4: Simplify right side
    481.60x = 270,395.87
  5. Step 5: Solve for x
    x = 270,395.87/481.60
  6. Step 6: Final answer
    x = 561.45

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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.