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Finding the Fourth Proportional to 1,119.78, 1,679.64 and 350.28

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Solution

The fourth proportional to 1,119.78, 1,679.64 and 350.28 is: 525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.78 : 1,679.64 = 350.28 : x
  2. Step 2: Convert to fraction form
    1,119.78/1,679.64 = 350.28/x
  3. Step 3: Cross multiply
    1,119.78x = 1,679.64 × 350.28
  4. Step 4: Simplify right side
    1,119.78x = 588,344.30
  5. Step 5: Solve for x
    x = 588,344.30/1,119.78
  6. Step 6: Final answer
    x = 525.41

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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.