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Finding the Fourth Proportional to 803.91, 1,199.16 and 674.75

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Solution

The fourth proportional to 803.91, 1,199.16 and 674.75 is: 1,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.91 : 1,199.16 = 674.75 : x
  2. Step 2: Convert to fraction form
    803.91/1,199.16 = 674.75/x
  3. Step 3: Cross multiply
    803.91x = 1,199.16 × 674.75
  4. Step 4: Simplify right side
    803.91x = 809,127.21
  5. Step 5: Solve for x
    x = 809,127.21/803.91
  6. Step 6: Final answer
    x = 1,006.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.