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Finding the Fourth Proportional to 893.21, 1,340.40 and 584.30

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Solution

The fourth proportional to 893.21, 1,340.40 and 584.30 is: 876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.21 : 1,340.40 = 584.30 : x
  2. Step 2: Convert to fraction form
    893.21/1,340.40 = 584.30/x
  3. Step 3: Cross multiply
    893.21x = 1,340.40 × 584.30
  4. Step 4: Simplify right side
    893.21x = 783,195.72
  5. Step 5: Solve for x
    x = 783,195.72/893.21
  6. Step 6: Final answer
    x = 876.83

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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.