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Finding the Fourth Proportional to 929.31, 1,391.12 and 798.09

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Solution

The fourth proportional to 929.31, 1,391.12 and 798.09 is: 1,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.31 : 1,391.12 = 798.09 : x
  2. Step 2: Convert to fraction form
    929.31/1,391.12 = 798.09/x
  3. Step 3: Cross multiply
    929.31x = 1,391.12 × 798.09
  4. Step 4: Simplify right side
    929.31x = 1,110,238.96
  5. Step 5: Solve for x
    x = 1,110,238.96/929.31
  6. Step 6: Final answer
    x = 1,194.69

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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.