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Finding the Fourth Proportional to 792.33, 1,187.32 and 705.83

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Solution

The fourth proportional to 792.33, 1,187.32 and 705.83 is: 1,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.33 : 1,187.32 = 705.83 : x
  2. Step 2: Convert to fraction form
    792.33/1,187.32 = 705.83/x
  3. Step 3: Cross multiply
    792.33x = 1,187.32 × 705.83
  4. Step 4: Simplify right side
    792.33x = 838,046.08
  5. Step 5: Solve for x
    x = 838,046.08/792.33
  6. Step 6: Final answer
    x = 1,057.70

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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.