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Finding the Fourth Proportional to 2,494.72, 3,741.81 and 645.79

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Solution

The fourth proportional to 2,494.72, 3,741.81 and 645.79 is: 968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.72 : 3,741.81 = 645.79 : x
  2. Step 2: Convert to fraction form
    2,494.72/3,741.81 = 645.79/x
  3. Step 3: Cross multiply
    2,494.72x = 3,741.81 × 645.79
  4. Step 4: Simplify right side
    2,494.72x = 2,416,423.48
  5. Step 5: Solve for x
    x = 2,416,423.48/2,494.72
  6. Step 6: Final answer
    x = 968.62

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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.