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Finding the Fourth Proportional to 685.36, 1,027.32 and 649.36

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Solution

The fourth proportional to 685.36, 1,027.32 and 649.36 is: 973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.36 : 1,027.32 = 649.36 : x
  2. Step 2: Convert to fraction form
    685.36/1,027.32 = 649.36/x
  3. Step 3: Cross multiply
    685.36x = 1,027.32 × 649.36
  4. Step 4: Simplify right side
    685.36x = 667,100.52
  5. Step 5: Solve for x
    x = 667,100.52/685.36
  6. Step 6: Final answer
    x = 973.36

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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.