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Finding the Fourth Proportional to 816.93, 1,226.48 and 488.48

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Solution

The fourth proportional to 816.93, 1,226.48 and 488.48 is: 733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.93 : 1,226.48 = 488.48 : x
  2. Step 2: Convert to fraction form
    816.93/1,226.48 = 488.48/x
  3. Step 3: Cross multiply
    816.93x = 1,226.48 × 488.48
  4. Step 4: Simplify right side
    816.93x = 599,110.95
  5. Step 5: Solve for x
    x = 599,110.95/816.93
  6. Step 6: Final answer
    x = 733.37

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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.