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Finding the Fourth Proportional to 2,290.44, 3,435.60 and 559.05

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Solution

The fourth proportional to 2,290.44, 3,435.60 and 559.05 is: 838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.44 : 3,435.60 = 559.05 : x
  2. Step 2: Convert to fraction form
    2,290.44/3,435.60 = 559.05/x
  3. Step 3: Cross multiply
    2,290.44x = 3,435.60 × 559.05
  4. Step 4: Simplify right side
    2,290.44x = 1,920,672.18
  5. Step 5: Solve for x
    x = 1,920,672.18/2,290.44
  6. Step 6: Final answer
    x = 838.56

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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.