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Finding the Fourth Proportional to 1,190.67, 1,785.90 and 369

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Solution

The fourth proportional to 1,190.67, 1,785.90 and 369 is: 553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.67 : 1,785.90 = 369 : x
  2. Step 2: Convert to fraction form
    1,190.67/1,785.90 = 369/x
  3. Step 3: Cross multiply
    1,190.67x = 1,785.90 × 369
  4. Step 4: Simplify right side
    1,190.67x = 658,997.10
  5. Step 5: Solve for x
    x = 658,997.10/1,190.67
  6. Step 6: Final answer
    x = 553.47

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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.