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Finding the Fourth Proportional to 1,233.90, 1,845.45 and 942.30

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Solution

The fourth proportional to 1,233.90, 1,845.45 and 942.30 is: 1,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.90 : 1,845.45 = 942.30 : x
  2. Step 2: Convert to fraction form
    1,233.90/1,845.45 = 942.30/x
  3. Step 3: Cross multiply
    1,233.90x = 1,845.45 × 942.30
  4. Step 4: Simplify right side
    1,233.90x = 1,738,967.54
  5. Step 5: Solve for x
    x = 1,738,967.54/1,233.90
  6. Step 6: Final answer
    x = 1,409.33

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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.