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Finding the Fourth Proportional to 1,190.39, 1,785.83 and 368.63

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Solution

The fourth proportional to 1,190.39, 1,785.83 and 368.63 is: 553.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.39 : 1,785.83 = 368.63 : x
  2. Step 2: Convert to fraction form
    1,190.39/1,785.83 = 368.63/x
  3. Step 3: Cross multiply
    1,190.39x = 1,785.83 × 368.63
  4. Step 4: Simplify right side
    1,190.39x = 658,299.74
  5. Step 5: Solve for x
    x = 658,299.74/1,190.39
  6. Step 6: Final answer
    x = 553.01

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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.