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Finding the Fourth Proportional to 893.26, 1,340.25 and 405.82

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Solution

The fourth proportional to 893.26, 1,340.25 and 405.82 is: 608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.26 : 1,340.25 = 405.82 : x
  2. Step 2: Convert to fraction form
    893.26/1,340.25 = 405.82/x
  3. Step 3: Cross multiply
    893.26x = 1,340.25 × 405.82
  4. Step 4: Simplify right side
    893.26x = 543,900.26
  5. Step 5: Solve for x
    x = 543,900.26/893.26
  6. Step 6: Final answer
    x = 608.89

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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.