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Finding the Fourth Proportional to 1,012.19, 1,518.38 and 395.94

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Solution

The fourth proportional to 1,012.19, 1,518.38 and 395.94 is: 593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.19 : 1,518.38 = 395.94 : x
  2. Step 2: Convert to fraction form
    1,012.19/1,518.38 = 395.94/x
  3. Step 3: Cross multiply
    1,012.19x = 1,518.38 × 395.94
  4. Step 4: Simplify right side
    1,012.19x = 601,187.38
  5. Step 5: Solve for x
    x = 601,187.38/1,012.19
  6. Step 6: Final answer
    x = 593.95

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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.