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Finding the Fourth Proportional to 1,076.15, 1,613.95 and 296.11

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Solution

The fourth proportional to 1,076.15, 1,613.95 and 296.11 is: 444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.15 : 1,613.95 = 296.11 : x
  2. Step 2: Convert to fraction form
    1,076.15/1,613.95 = 296.11/x
  3. Step 3: Cross multiply
    1,076.15x = 1,613.95 × 296.11
  4. Step 4: Simplify right side
    1,076.15x = 477,910.09
  5. Step 5: Solve for x
    x = 477,910.09/1,076.15
  6. Step 6: Final answer
    x = 444.09

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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.