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Finding the Fourth Proportional to 1,185.28, 1,776.60 and 567.64

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Solution

The fourth proportional to 1,185.28, 1,776.60 and 567.64 is: 850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.28 : 1,776.60 = 567.64 : x
  2. Step 2: Convert to fraction form
    1,185.28/1,776.60 = 567.64/x
  3. Step 3: Cross multiply
    1,185.28x = 1,776.60 × 567.64
  4. Step 4: Simplify right side
    1,185.28x = 1,008,469.22
  5. Step 5: Solve for x
    x = 1,008,469.22/1,185.28
  6. Step 6: Final answer
    x = 850.83

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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.