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Finding the Fourth Proportional to 803.82, 1,208.46 and 743.70

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Solution

The fourth proportional to 803.82, 1,208.46 and 743.70 is: 1,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.82 : 1,208.46 = 743.70 : x
  2. Step 2: Convert to fraction form
    803.82/1,208.46 = 743.70/x
  3. Step 3: Cross multiply
    803.82x = 1,208.46 × 743.70
  4. Step 4: Simplify right side
    803.82x = 898,731.70
  5. Step 5: Solve for x
    x = 898,731.70/803.82
  6. Step 6: Final answer
    x = 1,118.08

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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.