Home / 1,131.57-1,564.65-985.77

Finding the Fourth Proportional to 1,131.57, 1,564.65 and 985.77

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Solution

The fourth proportional to 1,131.57, 1,564.65 and 985.77 is: 1,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.57 : 1,564.65 = 985.77 : x
  2. Step 2: Convert to fraction form
    1,131.57/1,564.65 = 985.77/x
  3. Step 3: Cross multiply
    1,131.57x = 1,564.65 × 985.77
  4. Step 4: Simplify right side
    1,131.57x = 1,542,385.03
  5. Step 5: Solve for x
    x = 1,542,385.03/1,131.57
  6. Step 6: Final answer
    x = 1,363.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.