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Finding the Fourth Proportional to 2,255.77, 3,383.11 and 612.45

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Solution

The fourth proportional to 2,255.77, 3,383.11 and 612.45 is: 918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.77 : 3,383.11 = 612.45 : x
  2. Step 2: Convert to fraction form
    2,255.77/3,383.11 = 612.45/x
  3. Step 3: Cross multiply
    2,255.77x = 3,383.11 × 612.45
  4. Step 4: Simplify right side
    2,255.77x = 2,071,985.72
  5. Step 5: Solve for x
    x = 2,071,985.72/2,255.77
  6. Step 6: Final answer
    x = 918.53

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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.