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Finding the Fourth Proportional to 1,185.81, 1,778.26 and 569.81

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Solution

The fourth proportional to 1,185.81, 1,778.26 and 569.81 is: 854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.81 : 1,778.26 = 569.81 : x
  2. Step 2: Convert to fraction form
    1,185.81/1,778.26 = 569.81/x
  3. Step 3: Cross multiply
    1,185.81x = 1,778.26 × 569.81
  4. Step 4: Simplify right side
    1,185.81x = 1,013,261.44
  5. Step 5: Solve for x
    x = 1,013,261.44/1,185.81
  6. Step 6: Final answer
    x = 854.49

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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.