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Finding the Fourth Proportional to 801.10, 1,200.30 and 663.40

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Solution

The fourth proportional to 801.10, 1,200.30 and 663.40 is: 993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.10 : 1,200.30 = 663.40 : x
  2. Step 2: Convert to fraction form
    801.10/1,200.30 = 663.40/x
  3. Step 3: Cross multiply
    801.10x = 1,200.30 × 663.40
  4. Step 4: Simplify right side
    801.10x = 796,279.02
  5. Step 5: Solve for x
    x = 796,279.02/801.10
  6. Step 6: Final answer
    x = 993.98

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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.