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Finding the Fourth Proportional to 2,261.66, 3,392.65 and 618.33

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Solution

The fourth proportional to 2,261.66, 3,392.65 and 618.33 is: 927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.66 : 3,392.65 = 618.33 : x
  2. Step 2: Convert to fraction form
    2,261.66/3,392.65 = 618.33/x
  3. Step 3: Cross multiply
    2,261.66x = 3,392.65 × 618.33
  4. Step 4: Simplify right side
    2,261.66x = 2,097,777.27
  5. Step 5: Solve for x
    x = 2,097,777.27/2,261.66
  6. Step 6: Final answer
    x = 927.54

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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.