Home / 1,310.00-1,965.31-385.57

Finding the Fourth Proportional to 1,310.00, 1,965.31 and 385.57

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Solution

The fourth proportional to 1,310.00, 1,965.31 and 385.57 is: 578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.00 : 1,965.31 = 385.57 : x
  2. Step 2: Convert to fraction form
    1,310.00/1,965.31 = 385.57/x
  3. Step 3: Cross multiply
    1,310.00x = 1,965.31 × 385.57
  4. Step 4: Simplify right side
    1,310.00x = 757,758.70
  5. Step 5: Solve for x
    x = 757,758.70/1,310.00
  6. Step 6: Final answer
    x = 578.44

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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.