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Finding the Fourth Proportional to 2,494.61, 3,742.08 and 645.74

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Solution

The fourth proportional to 2,494.61, 3,742.08 and 645.74 is: 968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.61 : 3,742.08 = 645.74 : x
  2. Step 2: Convert to fraction form
    2,494.61/3,742.08 = 645.74/x
  3. Step 3: Cross multiply
    2,494.61x = 3,742.08 × 645.74
  4. Step 4: Simplify right side
    2,494.61x = 2,416,410.74
  5. Step 5: Solve for x
    x = 2,416,410.74/2,494.61
  6. Step 6: Final answer
    x = 968.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.