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Finding the Fourth Proportional to 1,076.47, 1,614.62 and 427.03

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Solution

The fourth proportional to 1,076.47, 1,614.62 and 427.03 is: 640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.47 : 1,614.62 = 427.03 : x
  2. Step 2: Convert to fraction form
    1,076.47/1,614.62 = 427.03/x
  3. Step 3: Cross multiply
    1,076.47x = 1,614.62 × 427.03
  4. Step 4: Simplify right side
    1,076.47x = 689,489.04
  5. Step 5: Solve for x
    x = 689,489.04/1,076.47
  6. Step 6: Final answer
    x = 640.51

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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.