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Finding the Fourth Proportional to 2,285.61, 3,428.54 and 642.02

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Solution

The fourth proportional to 2,285.61, 3,428.54 and 642.02 is: 963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.61 : 3,428.54 = 642.02 : x
  2. Step 2: Convert to fraction form
    2,285.61/3,428.54 = 642.02/x
  3. Step 3: Cross multiply
    2,285.61x = 3,428.54 × 642.02
  4. Step 4: Simplify right side
    2,285.61x = 2,201,200.43
  5. Step 5: Solve for x
    x = 2,201,200.43/2,285.61
  6. Step 6: Final answer
    x = 963.07

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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.