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Finding the Fourth Proportional to 2,455.89, 3,684.44 and 724.53

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Solution

The fourth proportional to 2,455.89, 3,684.44 and 724.53 is: 1,086.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.89 : 3,684.44 = 724.53 : x
  2. Step 2: Convert to fraction form
    2,455.89/3,684.44 = 724.53/x
  3. Step 3: Cross multiply
    2,455.89x = 3,684.44 × 724.53
  4. Step 4: Simplify right side
    2,455.89x = 2,669,483.69
  5. Step 5: Solve for x
    x = 2,669,483.69/2,455.89
  6. Step 6: Final answer
    x = 1,086.97

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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.