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Finding the Fourth Proportional to 1,299.58, 1,793.25 and 927.32

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Solution

The fourth proportional to 1,299.58, 1,793.25 and 927.32 is: 1,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.58 : 1,793.25 = 927.32 : x
  2. Step 2: Convert to fraction form
    1,299.58/1,793.25 = 927.32/x
  3. Step 3: Cross multiply
    1,299.58x = 1,793.25 × 927.32
  4. Step 4: Simplify right side
    1,299.58x = 1,662,907.62
  5. Step 5: Solve for x
    x = 1,662,907.62/1,299.58
  6. Step 6: Final answer
    x = 1,279.58

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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.