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Finding the Fourth Proportional to 481.33, 724.53 and 410.86

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Solution

The fourth proportional to 481.33, 724.53 and 410.86 is: 618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.33 : 724.53 = 410.86 : x
  2. Step 2: Convert to fraction form
    481.33/724.53 = 410.86/x
  3. Step 3: Cross multiply
    481.33x = 724.53 × 410.86
  4. Step 4: Simplify right side
    481.33x = 297,678.77
  5. Step 5: Solve for x
    x = 297,678.77/481.33
  6. Step 6: Final answer
    x = 618.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.