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Finding the Fourth Proportional to 1,213.99, 1,675.89 and 900.11

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Solution

The fourth proportional to 1,213.99, 1,675.89 and 900.11 is: 1,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.99 : 1,675.89 = 900.11 : x
  2. Step 2: Convert to fraction form
    1,213.99/1,675.89 = 900.11/x
  3. Step 3: Cross multiply
    1,213.99x = 1,675.89 × 900.11
  4. Step 4: Simplify right side
    1,213.99x = 1,508,489.54
  5. Step 5: Solve for x
    x = 1,508,489.54/1,213.99
  6. Step 6: Final answer
    x = 1,242.59

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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.