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Finding the Fourth Proportional to 869.09, 1,200.39 and 649.01

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Solution

The fourth proportional to 869.09, 1,200.39 and 649.01 is: 896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.09 : 1,200.39 = 649.01 : x
  2. Step 2: Convert to fraction form
    869.09/1,200.39 = 649.01/x
  3. Step 3: Cross multiply
    869.09x = 1,200.39 × 649.01
  4. Step 4: Simplify right side
    869.09x = 779,059.11
  5. Step 5: Solve for x
    x = 779,059.11/869.09
  6. Step 6: Final answer
    x = 896.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.