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Finding the Fourth Proportional to 1,049.91, 1,574.84 and 433.15

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Solution

The fourth proportional to 1,049.91, 1,574.84 and 433.15 is: 649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.91 : 1,574.84 = 433.15 : x
  2. Step 2: Convert to fraction form
    1,049.91/1,574.84 = 433.15/x
  3. Step 3: Cross multiply
    1,049.91x = 1,574.84 × 433.15
  4. Step 4: Simplify right side
    1,049.91x = 682,141.95
  5. Step 5: Solve for x
    x = 682,141.95/1,049.91
  6. Step 6: Final answer
    x = 649.71

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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.