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Finding the Fourth Proportional to 1,843.36, 2,765.07 and 610.77

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Solution

The fourth proportional to 1,843.36, 2,765.07 and 610.77 is: 916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.36 : 2,765.07 = 610.77 : x
  2. Step 2: Convert to fraction form
    1,843.36/2,765.07 = 610.77/x
  3. Step 3: Cross multiply
    1,843.36x = 2,765.07 × 610.77
  4. Step 4: Simplify right side
    1,843.36x = 1,688,832.17
  5. Step 5: Solve for x
    x = 1,688,832.17/1,843.36
  6. Step 6: Final answer
    x = 916.17

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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.