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Finding the Fourth Proportional to 1,076.38, 1,613.19 and 783.14

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Solution

The fourth proportional to 1,076.38, 1,613.19 and 783.14 is: 1,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.38 : 1,613.19 = 783.14 : x
  2. Step 2: Convert to fraction form
    1,076.38/1,613.19 = 783.14/x
  3. Step 3: Cross multiply
    1,076.38x = 1,613.19 × 783.14
  4. Step 4: Simplify right side
    1,076.38x = 1,263,353.62
  5. Step 5: Solve for x
    x = 1,263,353.62/1,076.38
  6. Step 6: Final answer
    x = 1,173.71

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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.