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Finding the Fourth Proportional to 1,199.69, 1,799.47 and 377.95

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Solution

The fourth proportional to 1,199.69, 1,799.47 and 377.95 is: 566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.69 : 1,799.47 = 377.95 : x
  2. Step 2: Convert to fraction form
    1,199.69/1,799.47 = 377.95/x
  3. Step 3: Cross multiply
    1,199.69x = 1,799.47 × 377.95
  4. Step 4: Simplify right side
    1,199.69x = 680,106.91
  5. Step 5: Solve for x
    x = 680,106.91/1,199.69
  6. Step 6: Final answer
    x = 566.90

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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.