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Finding the Fourth Proportional to 1,106.73, 1,659.11 and 813.51

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Solution

The fourth proportional to 1,106.73, 1,659.11 and 813.51 is: 1,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.73 : 1,659.11 = 813.51 : x
  2. Step 2: Convert to fraction form
    1,106.73/1,659.11 = 813.51/x
  3. Step 3: Cross multiply
    1,106.73x = 1,659.11 × 813.51
  4. Step 4: Simplify right side
    1,106.73x = 1,349,698.51
  5. Step 5: Solve for x
    x = 1,349,698.51/1,106.73
  6. Step 6: Final answer
    x = 1,219.54

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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.