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Finding the Fourth Proportional to 1,466.12, 2,198.72 and 492

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Solution

The fourth proportional to 1,466.12, 2,198.72 and 492 is: 737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.12 : 2,198.72 = 492 : x
  2. Step 2: Convert to fraction form
    1,466.12/2,198.72 = 492/x
  3. Step 3: Cross multiply
    1,466.12x = 2,198.72 × 492
  4. Step 4: Simplify right side
    1,466.12x = 1,081,770.24
  5. Step 5: Solve for x
    x = 1,081,770.24/1,466.12
  6. Step 6: Final answer
    x = 737.85

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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.