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Finding the Fourth Proportional to 1,049.13, 1,571.57 and 485.46

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Solution

The fourth proportional to 1,049.13, 1,571.57 and 485.46 is: 727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.13 : 1,571.57 = 485.46 : x
  2. Step 2: Convert to fraction form
    1,049.13/1,571.57 = 485.46/x
  3. Step 3: Cross multiply
    1,049.13x = 1,571.57 × 485.46
  4. Step 4: Simplify right side
    1,049.13x = 762,934.37
  5. Step 5: Solve for x
    x = 762,934.37/1,049.13
  6. Step 6: Final answer
    x = 727.21

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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.