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Finding the Fourth Proportional to 1,865.49, 2,798.72 and 566.97

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Solution

The fourth proportional to 1,865.49, 2,798.72 and 566.97 is: 850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.49 : 2,798.72 = 566.97 : x
  2. Step 2: Convert to fraction form
    1,865.49/2,798.72 = 566.97/x
  3. Step 3: Cross multiply
    1,865.49x = 2,798.72 × 566.97
  4. Step 4: Simplify right side
    1,865.49x = 1,586,787.44
  5. Step 5: Solve for x
    x = 1,586,787.44/1,865.49
  6. Step 6: Final answer
    x = 850.60

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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.