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Finding the Fourth Proportional to 1,137.82, 1,706.97 and 368.86

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Solution

The fourth proportional to 1,137.82, 1,706.97 and 368.86 is: 553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.82 : 1,706.97 = 368.86 : x
  2. Step 2: Convert to fraction form
    1,137.82/1,706.97 = 368.86/x
  3. Step 3: Cross multiply
    1,137.82x = 1,706.97 × 368.86
  4. Step 4: Simplify right side
    1,137.82x = 629,632.95
  5. Step 5: Solve for x
    x = 629,632.95/1,137.82
  6. Step 6: Final answer
    x = 553.37

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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.