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Finding the Fourth Proportional to 2,491.79, 3,737.69 and 760.41

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Solution

The fourth proportional to 2,491.79, 3,737.69 and 760.41 is: 1,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.79 : 3,737.69 = 760.41 : x
  2. Step 2: Convert to fraction form
    2,491.79/3,737.69 = 760.41/x
  3. Step 3: Cross multiply
    2,491.79x = 3,737.69 × 760.41
  4. Step 4: Simplify right side
    2,491.79x = 2,842,178.75
  5. Step 5: Solve for x
    x = 2,842,178.75/2,491.79
  6. Step 6: Final answer
    x = 1,140.62

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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.