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Finding the Fourth Proportional to 792.32, 1,187.52 and 696.32

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Solution

The fourth proportional to 792.32, 1,187.52 and 696.32 is: 1,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.32 : 1,187.52 = 696.32 : x
  2. Step 2: Convert to fraction form
    792.32/1,187.52 = 696.32/x
  3. Step 3: Cross multiply
    792.32x = 1,187.52 × 696.32
  4. Step 4: Simplify right side
    792.32x = 826,893.93
  5. Step 5: Solve for x
    x = 826,893.93/792.32
  6. Step 6: Final answer
    x = 1,043.64

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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.