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Finding the Fourth Proportional to 2,285.34, 3,428.65 and 641.90

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Solution

The fourth proportional to 2,285.34, 3,428.65 and 641.90 is: 963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.34 : 3,428.65 = 641.90 : x
  2. Step 2: Convert to fraction form
    2,285.34/3,428.65 = 641.90/x
  3. Step 3: Cross multiply
    2,285.34x = 3,428.65 × 641.90
  4. Step 4: Simplify right side
    2,285.34x = 2,200,851.97
  5. Step 5: Solve for x
    x = 2,200,851.97/2,285.34
  6. Step 6: Final answer
    x = 963.03

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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.