Home / 1,207.57-1,811.37-385.90

Finding the Fourth Proportional to 1,207.57, 1,811.37 and 385.90

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Solution

The fourth proportional to 1,207.57, 1,811.37 and 385.90 is: 578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.57 : 1,811.37 = 385.90 : x
  2. Step 2: Convert to fraction form
    1,207.57/1,811.37 = 385.90/x
  3. Step 3: Cross multiply
    1,207.57x = 1,811.37 × 385.90
  4. Step 4: Simplify right side
    1,207.57x = 699,007.68
  5. Step 5: Solve for x
    x = 699,007.68/1,207.57
  6. Step 6: Final answer
    x = 578.85

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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.