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Finding the Fourth Proportional to 2,202.57, 3,303.84 and 663.57

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Solution

The fourth proportional to 2,202.57, 3,303.84 and 663.57 is: 995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.57 : 3,303.84 = 663.57 : x
  2. Step 2: Convert to fraction form
    2,202.57/3,303.84 = 663.57/x
  3. Step 3: Cross multiply
    2,202.57x = 3,303.84 × 663.57
  4. Step 4: Simplify right side
    2,202.57x = 2,192,329.11
  5. Step 5: Solve for x
    x = 2,192,329.11/2,202.57
  6. Step 6: Final answer
    x = 995.35

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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.