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Finding the Fourth Proportional to 1,385.69, 1,908.54 and 1,199.19

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Solution

The fourth proportional to 1,385.69, 1,908.54 and 1,199.19 is: 1,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.69 : 1,908.54 = 1,199.19 : x
  2. Step 2: Convert to fraction form
    1,385.69/1,908.54 = 1,199.19/x
  3. Step 3: Cross multiply
    1,385.69x = 1,908.54 × 1,199.19
  4. Step 4: Simplify right side
    1,385.69x = 2,288,702.08
  5. Step 5: Solve for x
    x = 2,288,702.08/1,385.69
  6. Step 6: Final answer
    x = 1,651.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.