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Finding the Fourth Proportional to 1,216.98, 1,825.56 and 486.60

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Solution

The fourth proportional to 1,216.98, 1,825.56 and 486.60 is: 729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.98 : 1,825.56 = 486.60 : x
  2. Step 2: Convert to fraction form
    1,216.98/1,825.56 = 486.60/x
  3. Step 3: Cross multiply
    1,216.98x = 1,825.56 × 486.60
  4. Step 4: Simplify right side
    1,216.98x = 888,317.50
  5. Step 5: Solve for x
    x = 888,317.50/1,216.98
  6. Step 6: Final answer
    x = 729.94

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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.