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Finding the Fourth Proportional to 1,132.67, 1,699.35 and 936.78

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Solution

The fourth proportional to 1,132.67, 1,699.35 and 936.78 is: 1,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.67 : 1,699.35 = 936.78 : x
  2. Step 2: Convert to fraction form
    1,132.67/1,699.35 = 936.78/x
  3. Step 3: Cross multiply
    1,132.67x = 1,699.35 × 936.78
  4. Step 4: Simplify right side
    1,132.67x = 1,591,917.09
  5. Step 5: Solve for x
    x = 1,591,917.09/1,132.67
  6. Step 6: Final answer
    x = 1,405.46

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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.