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Finding the Fourth Proportional to 893.85, 1,340.81 and 277.55

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Solution

The fourth proportional to 893.85, 1,340.81 and 277.55 is: 416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.85 : 1,340.81 = 277.55 : x
  2. Step 2: Convert to fraction form
    893.85/1,340.81 = 277.55/x
  3. Step 3: Cross multiply
    893.85x = 1,340.81 × 277.55
  4. Step 4: Simplify right side
    893.85x = 372,141.82
  5. Step 5: Solve for x
    x = 372,141.82/893.85
  6. Step 6: Final answer
    x = 416.34

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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.