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Finding the Fourth Proportional to 1,466.00, 2,198.45 and 478.59

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Solution

The fourth proportional to 1,466.00, 2,198.45 and 478.59 is: 717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.00 : 2,198.45 = 478.59 : x
  2. Step 2: Convert to fraction form
    1,466.00/2,198.45 = 478.59/x
  3. Step 3: Cross multiply
    1,466.00x = 2,198.45 × 478.59
  4. Step 4: Simplify right side
    1,466.00x = 1,052,149.14
  5. Step 5: Solve for x
    x = 1,052,149.14/1,466.00
  6. Step 6: Final answer
    x = 717.70

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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.