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Finding the Fourth Proportional to 1,589.80, 2,193.91 and 891.17

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Solution

The fourth proportional to 1,589.80, 2,193.91 and 891.17 is: 1,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.80 : 2,193.91 = 891.17 : x
  2. Step 2: Convert to fraction form
    1,589.80/2,193.91 = 891.17/x
  3. Step 3: Cross multiply
    1,589.80x = 2,193.91 × 891.17
  4. Step 4: Simplify right side
    1,589.80x = 1,955,146.77
  5. Step 5: Solve for x
    x = 1,955,146.77/1,589.80
  6. Step 6: Final answer
    x = 1,229.81

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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.