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Finding the Fourth Proportional to 481.48, 722.28 and 286.68

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Solution

The fourth proportional to 481.48, 722.28 and 286.68 is: 430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.48 : 722.28 = 286.68 : x
  2. Step 2: Convert to fraction form
    481.48/722.28 = 286.68/x
  3. Step 3: Cross multiply
    481.48x = 722.28 × 286.68
  4. Step 4: Simplify right side
    481.48x = 207,063.23
  5. Step 5: Solve for x
    x = 207,063.23/481.48
  6. Step 6: Final answer
    x = 430.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.