Home / 1,076.03-1,614.11-459.78

Finding the Fourth Proportional to 1,076.03, 1,614.11 and 459.78

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Solution

The fourth proportional to 1,076.03, 1,614.11 and 459.78 is: 689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.03 : 1,614.11 = 459.78 : x
  2. Step 2: Convert to fraction form
    1,076.03/1,614.11 = 459.78/x
  3. Step 3: Cross multiply
    1,076.03x = 1,614.11 × 459.78
  4. Step 4: Simplify right side
    1,076.03x = 742,138.97
  5. Step 5: Solve for x
    x = 742,138.97/1,076.03
  6. Step 6: Final answer
    x = 689.70

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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.