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Finding the Fourth Proportional to 1,173.96, 1,759.61 and 556.81

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Solution

The fourth proportional to 1,173.96, 1,759.61 and 556.81 is: 834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.96 : 1,759.61 = 556.81 : x
  2. Step 2: Convert to fraction form
    1,173.96/1,759.61 = 556.81/x
  3. Step 3: Cross multiply
    1,173.96x = 1,759.61 × 556.81
  4. Step 4: Simplify right side
    1,173.96x = 979,765.44
  5. Step 5: Solve for x
    x = 979,765.44/1,173.96
  6. Step 6: Final answer
    x = 834.58

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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.