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Finding the Fourth Proportional to 2,285.09, 3,427.63 and 553.71

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Solution

The fourth proportional to 2,285.09, 3,427.63 and 553.71 is: 830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.09 : 3,427.63 = 553.71 : x
  2. Step 2: Convert to fraction form
    2,285.09/3,427.63 = 553.71/x
  3. Step 3: Cross multiply
    2,285.09x = 3,427.63 × 553.71
  4. Step 4: Simplify right side
    2,285.09x = 1,897,910.24
  5. Step 5: Solve for x
    x = 1,897,910.24/2,285.09
  6. Step 6: Final answer
    x = 830.56

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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.