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Finding the Fourth Proportional to 1,580.77, 2,180.78 and 991.19

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Solution

The fourth proportional to 1,580.77, 2,180.78 and 991.19 is: 1,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.77 : 2,180.78 = 991.19 : x
  2. Step 2: Convert to fraction form
    1,580.77/2,180.78 = 991.19/x
  3. Step 3: Cross multiply
    1,580.77x = 2,180.78 × 991.19
  4. Step 4: Simplify right side
    1,580.77x = 2,161,562.37
  5. Step 5: Solve for x
    x = 2,161,562.37/1,580.77
  6. Step 6: Final answer
    x = 1,367.41

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1.5x scale

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.