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Finding the Fourth Proportional to 1,105.33, 1,523.80 and 790.51

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Solution

The fourth proportional to 1,105.33, 1,523.80 and 790.51 is: 1,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.33 : 1,523.80 = 790.51 : x
  2. Step 2: Convert to fraction form
    1,105.33/1,523.80 = 790.51/x
  3. Step 3: Cross multiply
    1,105.33x = 1,523.80 × 790.51
  4. Step 4: Simplify right side
    1,105.33x = 1,204,579.14
  5. Step 5: Solve for x
    x = 1,204,579.14/1,105.33
  6. Step 6: Final answer
    x = 1,089.79

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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.