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Finding the Fourth Proportional to 1,426.98, 2,140.74 and 733.26

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Solution

The fourth proportional to 1,426.98, 2,140.74 and 733.26 is: 1,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.98 : 2,140.74 = 733.26 : x
  2. Step 2: Convert to fraction form
    1,426.98/2,140.74 = 733.26/x
  3. Step 3: Cross multiply
    1,426.98x = 2,140.74 × 733.26
  4. Step 4: Simplify right side
    1,426.98x = 1,569,719.01
  5. Step 5: Solve for x
    x = 1,569,719.01/1,426.98
  6. Step 6: Final answer
    x = 1,100.03

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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.