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Finding the Fourth Proportional to 1,233.90, 1,850.79 and 309.48

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Solution

The fourth proportional to 1,233.90, 1,850.79 and 309.48 is: 464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.90 : 1,850.79 = 309.48 : x
  2. Step 2: Convert to fraction form
    1,233.90/1,850.79 = 309.48/x
  3. Step 3: Cross multiply
    1,233.90x = 1,850.79 × 309.48
  4. Step 4: Simplify right side
    1,233.90x = 572,782.49
  5. Step 5: Solve for x
    x = 572,782.49/1,233.90
  6. Step 6: Final answer
    x = 464.20

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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.