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Finding the Fourth Proportional to 1,640.10, 2,459.62 and 818.15

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Solution

The fourth proportional to 1,640.10, 2,459.62 and 818.15 is: 1,226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.10 : 2,459.62 = 818.15 : x
  2. Step 2: Convert to fraction form
    1,640.10/2,459.62 = 818.15/x
  3. Step 3: Cross multiply
    1,640.10x = 2,459.62 × 818.15
  4. Step 4: Simplify right side
    1,640.10x = 2,012,336.06
  5. Step 5: Solve for x
    x = 2,012,336.06/1,640.10
  6. Step 6: Final answer
    x = 1,226.96

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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.