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Finding the Fourth Proportional to 1,012.20, 1,518.39 and 395.94

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Solution

The fourth proportional to 1,012.20, 1,518.39 and 395.94 is: 593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.20 : 1,518.39 = 395.94 : x
  2. Step 2: Convert to fraction form
    1,012.20/1,518.39 = 395.94/x
  3. Step 3: Cross multiply
    1,012.20x = 1,518.39 × 395.94
  4. Step 4: Simplify right side
    1,012.20x = 601,191.34
  5. Step 5: Solve for x
    x = 601,191.34/1,012.20
  6. Step 6: Final answer
    x = 593.95

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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.