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Finding the Fourth Proportional to 2,474.54, 3,711.98 and 719.55

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Solution

The fourth proportional to 2,474.54, 3,711.98 and 719.55 is: 1,079.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.54 : 3,711.98 = 719.55 : x
  2. Step 2: Convert to fraction form
    2,474.54/3,711.98 = 719.55/x
  3. Step 3: Cross multiply
    2,474.54x = 3,711.98 × 719.55
  4. Step 4: Simplify right side
    2,474.54x = 2,670,937.30
  5. Step 5: Solve for x
    x = 2,670,937.30/2,474.54
  6. Step 6: Final answer
    x = 1,079.37

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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.