Home / 1,151.18-1,725.94-420.78

Finding the Fourth Proportional to 1,151.18, 1,725.94 and 420.78

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Solution

The fourth proportional to 1,151.18, 1,725.94 and 420.78 is: 630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.18 : 1,725.94 = 420.78 : x
  2. Step 2: Convert to fraction form
    1,151.18/1,725.94 = 420.78/x
  3. Step 3: Cross multiply
    1,151.18x = 1,725.94 × 420.78
  4. Step 4: Simplify right side
    1,151.18x = 726,241.03
  5. Step 5: Solve for x
    x = 726,241.03/1,151.18
  6. Step 6: Final answer
    x = 630.87

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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.