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Finding the Fourth Proportional to 1,078.29, 1,618.08 and 453.54

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Solution

The fourth proportional to 1,078.29, 1,618.08 and 453.54 is: 680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.29 : 1,618.08 = 453.54 : x
  2. Step 2: Convert to fraction form
    1,078.29/1,618.08 = 453.54/x
  3. Step 3: Cross multiply
    1,078.29x = 1,618.08 × 453.54
  4. Step 4: Simplify right side
    1,078.29x = 733,861.74
  5. Step 5: Solve for x
    x = 733,861.74/1,078.29
  6. Step 6: Final answer
    x = 680.58

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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.