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Finding the Fourth Proportional to 1,191.02, 1,644.48 and 798.98

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Solution

The fourth proportional to 1,191.02, 1,644.48 and 798.98 is: 1,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.02 : 1,644.48 = 798.98 : x
  2. Step 2: Convert to fraction form
    1,191.02/1,644.48 = 798.98/x
  3. Step 3: Cross multiply
    1,191.02x = 1,644.48 × 798.98
  4. Step 4: Simplify right side
    1,191.02x = 1,313,906.63
  5. Step 5: Solve for x
    x = 1,313,906.63/1,191.02
  6. Step 6: Final answer
    x = 1,103.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.