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Finding the Fourth Proportional to 1,843.29, 2,765.02 and 610.81

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Solution

The fourth proportional to 1,843.29, 2,765.02 and 610.81 is: 916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.29 : 2,765.02 = 610.81 : x
  2. Step 2: Convert to fraction form
    1,843.29/2,765.02 = 610.81/x
  3. Step 3: Cross multiply
    1,843.29x = 2,765.02 × 610.81
  4. Step 4: Simplify right side
    1,843.29x = 1,688,888.04
  5. Step 5: Solve for x
    x = 1,688,888.04/1,843.29
  6. Step 6: Final answer
    x = 916.24

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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.