Home / 1,216.14-1,823.76-394.62

Finding the Fourth Proportional to 1,216.14, 1,823.76 and 394.62

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Solution

The fourth proportional to 1,216.14, 1,823.76 and 394.62 is: 591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.14 : 1,823.76 = 394.62 : x
  2. Step 2: Convert to fraction form
    1,216.14/1,823.76 = 394.62/x
  3. Step 3: Cross multiply
    1,216.14x = 1,823.76 × 394.62
  4. Step 4: Simplify right side
    1,216.14x = 719,692.17
  5. Step 5: Solve for x
    x = 719,692.17/1,216.14
  6. Step 6: Final answer
    x = 591.78

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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.