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Finding the Fourth Proportional to 803.74, 1,202.64 and 674.14

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Solution

The fourth proportional to 803.74, 1,202.64 and 674.14 is: 1,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.74 : 1,202.64 = 674.14 : x
  2. Step 2: Convert to fraction form
    803.74/1,202.64 = 674.14/x
  3. Step 3: Cross multiply
    803.74x = 1,202.64 × 674.14
  4. Step 4: Simplify right side
    803.74x = 810,747.73
  5. Step 5: Solve for x
    x = 810,747.73/803.74
  6. Step 6: Final answer
    x = 1,008.72

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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.