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Finding the Fourth Proportional to 1,168.99, 1,755.21 and 781.39

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Solution

The fourth proportional to 1,168.99, 1,755.21 and 781.39 is: 1,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.99 : 1,755.21 = 781.39 : x
  2. Step 2: Convert to fraction form
    1,168.99/1,755.21 = 781.39/x
  3. Step 3: Cross multiply
    1,168.99x = 1,755.21 × 781.39
  4. Step 4: Simplify right side
    1,168.99x = 1,371,503.54
  5. Step 5: Solve for x
    x = 1,371,503.54/1,168.99
  6. Step 6: Final answer
    x = 1,173.24

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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.