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Finding the Fourth Proportional to 1,768.28, 2,652.30 and 613.64

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Solution

The fourth proportional to 1,768.28, 2,652.30 and 613.64 is: 920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.28 : 2,652.30 = 613.64 : x
  2. Step 2: Convert to fraction form
    1,768.28/2,652.30 = 613.64/x
  3. Step 3: Cross multiply
    1,768.28x = 2,652.30 × 613.64
  4. Step 4: Simplify right side
    1,768.28x = 1,627,557.37
  5. Step 5: Solve for x
    x = 1,627,557.37/1,768.28
  6. Step 6: Final answer
    x = 920.42

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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.