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Finding the Fourth Proportional to 1,199.67, 1,799.58 and 377.97

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Solution

The fourth proportional to 1,199.67, 1,799.58 and 377.97 is: 566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.67 : 1,799.58 = 377.97 : x
  2. Step 2: Convert to fraction form
    1,199.67/1,799.58 = 377.97/x
  3. Step 3: Cross multiply
    1,199.67x = 1,799.58 × 377.97
  4. Step 4: Simplify right side
    1,199.67x = 680,187.25
  5. Step 5: Solve for x
    x = 680,187.25/1,199.67
  6. Step 6: Final answer
    x = 566.98

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Double scale
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1.5x scale

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.