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Finding the Fourth Proportional to 1,093.32, 1,504.26 and 829.80

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Solution

The fourth proportional to 1,093.32, 1,504.26 and 829.80 is: 1,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.32 : 1,504.26 = 829.80 : x
  2. Step 2: Convert to fraction form
    1,093.32/1,504.26 = 829.80/x
  3. Step 3: Cross multiply
    1,093.32x = 1,504.26 × 829.80
  4. Step 4: Simplify right side
    1,093.32x = 1,248,234.95
  5. Step 5: Solve for x
    x = 1,248,234.95/1,093.32
  6. Step 6: Final answer
    x = 1,141.69

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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.