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Finding the Fourth Proportional to 816.36, 1,224.75 and 670.37

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Solution

The fourth proportional to 816.36, 1,224.75 and 670.37 is: 1,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.36 : 1,224.75 = 670.37 : x
  2. Step 2: Convert to fraction form
    816.36/1,224.75 = 670.37/x
  3. Step 3: Cross multiply
    816.36x = 1,224.75 × 670.37
  4. Step 4: Simplify right side
    816.36x = 821,029.53
  5. Step 5: Solve for x
    x = 821,029.53/816.36
  6. Step 6: Final answer
    x = 1,005.72

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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.