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Finding the Fourth Proportional to 1,496.60, 2,243.86 and 663.21

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Solution

The fourth proportional to 1,496.60, 2,243.86 and 663.21 is: 994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.60 : 2,243.86 = 663.21 : x
  2. Step 2: Convert to fraction form
    1,496.60/2,243.86 = 663.21/x
  3. Step 3: Cross multiply
    1,496.60x = 2,243.86 × 663.21
  4. Step 4: Simplify right side
    1,496.60x = 1,488,154.02
  5. Step 5: Solve for x
    x = 1,488,154.02/1,496.60
  6. Step 6: Final answer
    x = 994.35

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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.