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Finding the Fourth Proportional to 1,291.90, 1,936.76 and 900.75

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Solution

The fourth proportional to 1,291.90, 1,936.76 and 900.75 is: 1,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.90 : 1,936.76 = 900.75 : x
  2. Step 2: Convert to fraction form
    1,291.90/1,936.76 = 900.75/x
  3. Step 3: Cross multiply
    1,291.90x = 1,936.76 × 900.75
  4. Step 4: Simplify right side
    1,291.90x = 1,744,536.57
  5. Step 5: Solve for x
    x = 1,744,536.57/1,291.90
  6. Step 6: Final answer
    x = 1,350.37

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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.