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Finding the Fourth Proportional to 2,285.81, 3,428.21 and 642.52

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Solution

The fourth proportional to 2,285.81, 3,428.21 and 642.52 is: 963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.81 : 3,428.21 = 642.52 : x
  2. Step 2: Convert to fraction form
    2,285.81/3,428.21 = 642.52/x
  3. Step 3: Cross multiply
    2,285.81x = 3,428.21 × 642.52
  4. Step 4: Simplify right side
    2,285.81x = 2,202,693.49
  5. Step 5: Solve for x
    x = 2,202,693.49/2,285.81
  6. Step 6: Final answer
    x = 963.64

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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.