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Finding the Fourth Proportional to 1,034.20, 1,550.49 and 485.83

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Solution

The fourth proportional to 1,034.20, 1,550.49 and 485.83 is: 728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.20 : 1,550.49 = 485.83 : x
  2. Step 2: Convert to fraction form
    1,034.20/1,550.49 = 485.83/x
  3. Step 3: Cross multiply
    1,034.20x = 1,550.49 × 485.83
  4. Step 4: Simplify right side
    1,034.20x = 753,274.56
  5. Step 5: Solve for x
    x = 753,274.56/1,034.20
  6. Step 6: Final answer
    x = 728.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.