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Finding the Fourth Proportional to 1,640.34, 2,459.21 and 818.19

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Solution

The fourth proportional to 1,640.34, 2,459.21 and 818.19 is: 1,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.34 : 2,459.21 = 818.19 : x
  2. Step 2: Convert to fraction form
    1,640.34/2,459.21 = 818.19/x
  3. Step 3: Cross multiply
    1,640.34x = 2,459.21 × 818.19
  4. Step 4: Simplify right side
    1,640.34x = 2,012,101.03
  5. Step 5: Solve for x
    x = 2,012,101.03/1,640.34
  6. Step 6: Final answer
    x = 1,226.64

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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.