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Finding the Fourth Proportional to 2,494.50, 3,741.74 and 645.61

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Solution

The fourth proportional to 2,494.50, 3,741.74 and 645.61 is: 968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.50 : 3,741.74 = 645.61 : x
  2. Step 2: Convert to fraction form
    2,494.50/3,741.74 = 645.61/x
  3. Step 3: Cross multiply
    2,494.50x = 3,741.74 × 645.61
  4. Step 4: Simplify right side
    2,494.50x = 2,415,692.18
  5. Step 5: Solve for x
    x = 2,415,692.18/2,494.50
  6. Step 6: Final answer
    x = 968.41

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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.