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Finding the Fourth Proportional to 1,076.28, 1,614.69 and 427.08

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Solution

The fourth proportional to 1,076.28, 1,614.69 and 427.08 is: 640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.28 : 1,614.69 = 427.08 : x
  2. Step 2: Convert to fraction form
    1,076.28/1,614.69 = 427.08/x
  3. Step 3: Cross multiply
    1,076.28x = 1,614.69 × 427.08
  4. Step 4: Simplify right side
    1,076.28x = 689,601.81
  5. Step 5: Solve for x
    x = 689,601.81/1,076.28
  6. Step 6: Final answer
    x = 640.73

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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.