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Finding the Fourth Proportional to 901.99, 1,344.02 and 803.73

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Solution

The fourth proportional to 901.99, 1,344.02 and 803.73 is: 1,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.99 : 1,344.02 = 803.73 : x
  2. Step 2: Convert to fraction form
    901.99/1,344.02 = 803.73/x
  3. Step 3: Cross multiply
    901.99x = 1,344.02 × 803.73
  4. Step 4: Simplify right side
    901.99x = 1,080,229.19
  5. Step 5: Solve for x
    x = 1,080,229.19/901.99
  6. Step 6: Final answer
    x = 1,197.61

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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.