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Finding the Fourth Proportional to 1,079.25, 1,620.49 and 617.55

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Solution

The fourth proportional to 1,079.25, 1,620.49 and 617.55 is: 927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.25 : 1,620.49 = 617.55 : x
  2. Step 2: Convert to fraction form
    1,079.25/1,620.49 = 617.55/x
  3. Step 3: Cross multiply
    1,079.25x = 1,620.49 × 617.55
  4. Step 4: Simplify right side
    1,079.25x = 1,000,725.50
  5. Step 5: Solve for x
    x = 1,000,725.50/1,079.25
  6. Step 6: Final answer
    x = 927.25

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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.