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Finding the Fourth Proportional to 1,805.26, 2,491.26 and 977.26

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Solution

The fourth proportional to 1,805.26, 2,491.26 and 977.26 is: 1,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.26 : 2,491.26 = 977.26 : x
  2. Step 2: Convert to fraction form
    1,805.26/2,491.26 = 977.26/x
  3. Step 3: Cross multiply
    1,805.26x = 2,491.26 × 977.26
  4. Step 4: Simplify right side
    1,805.26x = 2,434,608.75
  5. Step 5: Solve for x
    x = 2,434,608.75/1,805.26
  6. Step 6: Final answer
    x = 1,348.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.