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Finding the Fourth Proportional to 1,199.78, 1,799.68 and 378.18

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Solution

The fourth proportional to 1,199.78, 1,799.68 and 378.18 is: 567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.78 : 1,799.68 = 378.18 : x
  2. Step 2: Convert to fraction form
    1,199.78/1,799.68 = 378.18/x
  3. Step 3: Cross multiply
    1,199.78x = 1,799.68 × 378.18
  4. Step 4: Simplify right side
    1,199.78x = 680,602.98
  5. Step 5: Solve for x
    x = 680,602.98/1,199.78
  6. Step 6: Final answer
    x = 567.27

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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.