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Finding the Fourth Proportional to 2,285.74, 3,428.62 and 642.31

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Solution

The fourth proportional to 2,285.74, 3,428.62 and 642.31 is: 963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.74 : 3,428.62 = 642.31 : x
  2. Step 2: Convert to fraction form
    2,285.74/3,428.62 = 642.31/x
  3. Step 3: Cross multiply
    2,285.74x = 3,428.62 × 642.31
  4. Step 4: Simplify right side
    2,285.74x = 2,202,243.88
  5. Step 5: Solve for x
    x = 2,202,243.88/2,285.74
  6. Step 6: Final answer
    x = 963.47

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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.