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Finding the Fourth Proportional to 1,640.10, 2,459.80 and 544.22

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Solution

The fourth proportional to 1,640.10, 2,459.80 and 544.22 is: 816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.10 : 2,459.80 = 544.22 : x
  2. Step 2: Convert to fraction form
    1,640.10/2,459.80 = 544.22/x
  3. Step 3: Cross multiply
    1,640.10x = 2,459.80 × 544.22
  4. Step 4: Simplify right side
    1,640.10x = 1,338,672.36
  5. Step 5: Solve for x
    x = 1,338,672.36/1,640.10
  6. Step 6: Final answer
    x = 816.21

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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.