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Finding the Fourth Proportional to 1,848.15, 2,770.56 and 677.33

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Solution

The fourth proportional to 1,848.15, 2,770.56 and 677.33 is: 1,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.15 : 2,770.56 = 677.33 : x
  2. Step 2: Convert to fraction form
    1,848.15/2,770.56 = 677.33/x
  3. Step 3: Cross multiply
    1,848.15x = 2,770.56 × 677.33
  4. Step 4: Simplify right side
    1,848.15x = 1,876,569.55
  5. Step 5: Solve for x
    x = 1,876,569.55/1,848.15
  6. Step 6: Final answer
    x = 1,015.38

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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.