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Finding the Fourth Proportional to 2,290.82, 3,436.20 and 559.46

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Solution

The fourth proportional to 2,290.82, 3,436.20 and 559.46 is: 839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.82 : 3,436.20 = 559.46 : x
  2. Step 2: Convert to fraction form
    2,290.82/3,436.20 = 559.46/x
  3. Step 3: Cross multiply
    2,290.82x = 3,436.20 × 559.46
  4. Step 4: Simplify right side
    2,290.82x = 1,922,416.45
  5. Step 5: Solve for x
    x = 1,922,416.45/2,290.82
  6. Step 6: Final answer
    x = 839.18

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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.