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Finding the Fourth Proportional to 1,199.28, 1,799.74 and 429.78

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Solution

The fourth proportional to 1,199.28, 1,799.74 and 429.78 is: 644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.28 : 1,799.74 = 429.78 : x
  2. Step 2: Convert to fraction form
    1,199.28/1,799.74 = 429.78/x
  3. Step 3: Cross multiply
    1,199.28x = 1,799.74 × 429.78
  4. Step 4: Simplify right side
    1,199.28x = 773,492.26
  5. Step 5: Solve for x
    x = 773,492.26/1,199.28
  6. Step 6: Final answer
    x = 644.96

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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.