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Finding the Fourth Proportional to 1,052.97, 1,453.37 and 610.82

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Solution

The fourth proportional to 1,052.97, 1,453.37 and 610.82 is: 843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.97 : 1,453.37 = 610.82 : x
  2. Step 2: Convert to fraction form
    1,052.97/1,453.37 = 610.82/x
  3. Step 3: Cross multiply
    1,052.97x = 1,453.37 × 610.82
  4. Step 4: Simplify right side
    1,052.97x = 887,737.14
  5. Step 5: Solve for x
    x = 887,737.14/1,052.97
  6. Step 6: Final answer
    x = 843.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.