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Finding the Fourth Proportional to 2,285.88, 3,428.37 and 642.09

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Solution

The fourth proportional to 2,285.88, 3,428.37 and 642.09 is: 963.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.88 : 3,428.37 = 642.09 : x
  2. Step 2: Convert to fraction form
    2,285.88/3,428.37 = 642.09/x
  3. Step 3: Cross multiply
    2,285.88x = 3,428.37 × 642.09
  4. Step 4: Simplify right side
    2,285.88x = 2,201,322.09
  5. Step 5: Solve for x
    x = 2,201,322.09/2,285.88
  6. Step 6: Final answer
    x = 963.01

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1.5x scale

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.