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Finding the Fourth Proportional to 2,202.35, 3,302.84 and 642.47

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Solution

The fourth proportional to 2,202.35, 3,302.84 and 642.47 is: 963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.35 : 3,302.84 = 642.47 : x
  2. Step 2: Convert to fraction form
    2,202.35/3,302.84 = 642.47/x
  3. Step 3: Cross multiply
    2,202.35x = 3,302.84 × 642.47
  4. Step 4: Simplify right side
    2,202.35x = 2,121,960.71
  5. Step 5: Solve for x
    x = 2,121,960.71/2,202.35
  6. Step 6: Final answer
    x = 963.50

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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.