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Finding the Fourth Proportional to 936.23, 1,409.87 and 881.55

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Solution

The fourth proportional to 936.23, 1,409.87 and 881.55 is: 1,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.23 : 1,409.87 = 881.55 : x
  2. Step 2: Convert to fraction form
    936.23/1,409.87 = 881.55/x
  3. Step 3: Cross multiply
    936.23x = 1,409.87 × 881.55
  4. Step 4: Simplify right side
    936.23x = 1,242,873.10
  5. Step 5: Solve for x
    x = 1,242,873.10/936.23
  6. Step 6: Final answer
    x = 1,327.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.