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Finding the Fourth Proportional to 1,076.28, 1,610.58 and 843.57

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Solution

The fourth proportional to 1,076.28, 1,610.58 and 843.57 is: 1,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.28 : 1,610.58 = 843.57 : x
  2. Step 2: Convert to fraction form
    1,076.28/1,610.58 = 843.57/x
  3. Step 3: Cross multiply
    1,076.28x = 1,610.58 × 843.57
  4. Step 4: Simplify right side
    1,076.28x = 1,358,643.37
  5. Step 5: Solve for x
    x = 1,358,643.37/1,076.28
  6. Step 6: Final answer
    x = 1,262.35

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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.