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Finding the Fourth Proportional to 1,199.26, 1,798.35 and 377.38

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Solution

The fourth proportional to 1,199.26, 1,798.35 and 377.38 is: 565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.26 : 1,798.35 = 377.38 : x
  2. Step 2: Convert to fraction form
    1,199.26/1,798.35 = 377.38/x
  3. Step 3: Cross multiply
    1,199.26x = 1,798.35 × 377.38
  4. Step 4: Simplify right side
    1,199.26x = 678,661.32
  5. Step 5: Solve for x
    x = 678,661.32/1,199.26
  6. Step 6: Final answer
    x = 565.90

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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.