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Finding the Fourth Proportional to 893.22, 1,340.40 and 649.14

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Solution

The fourth proportional to 893.22, 1,340.40 and 649.14 is: 974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.22 : 1,340.40 = 649.14 : x
  2. Step 2: Convert to fraction form
    893.22/1,340.40 = 649.14/x
  3. Step 3: Cross multiply
    893.22x = 1,340.40 × 649.14
  4. Step 4: Simplify right side
    893.22x = 870,107.26
  5. Step 5: Solve for x
    x = 870,107.26/893.22
  6. Step 6: Final answer
    x = 974.12

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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.