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Finding the Fourth Proportional to 1,183.21, 1,633.91 and 764.53

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Solution

The fourth proportional to 1,183.21, 1,633.91 and 764.53 is: 1,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.21 : 1,633.91 = 764.53 : x
  2. Step 2: Convert to fraction form
    1,183.21/1,633.91 = 764.53/x
  3. Step 3: Cross multiply
    1,183.21x = 1,633.91 × 764.53
  4. Step 4: Simplify right side
    1,183.21x = 1,249,165.30
  5. Step 5: Solve for x
    x = 1,249,165.30/1,183.21
  6. Step 6: Final answer
    x = 1,055.74

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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.