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Finding the Fourth Proportional to 1,168.94, 1,755.57 and 784.46

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Solution

The fourth proportional to 1,168.94, 1,755.57 and 784.46 is: 1,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.94 : 1,755.57 = 784.46 : x
  2. Step 2: Convert to fraction form
    1,168.94/1,755.57 = 784.46/x
  3. Step 3: Cross multiply
    1,168.94x = 1,755.57 × 784.46
  4. Step 4: Simplify right side
    1,168.94x = 1,377,174.44
  5. Step 5: Solve for x
    x = 1,377,174.44/1,168.94
  6. Step 6: Final answer
    x = 1,178.14

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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.