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Finding the Fourth Proportional to 926.68, 1,383.25 and 859.09

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Solution

The fourth proportional to 926.68, 1,383.25 and 859.09 is: 1,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.68 : 1,383.25 = 859.09 : x
  2. Step 2: Convert to fraction form
    926.68/1,383.25 = 859.09/x
  3. Step 3: Cross multiply
    926.68x = 1,383.25 × 859.09
  4. Step 4: Simplify right side
    926.68x = 1,188,336.24
  5. Step 5: Solve for x
    x = 1,188,336.24/926.68
  6. Step 6: Final answer
    x = 1,282.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.