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Finding the Fourth Proportional to 1,216.27, 1,825.26 and 486.01

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Solution

The fourth proportional to 1,216.27, 1,825.26 and 486.01 is: 729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.27 : 1,825.26 = 486.01 : x
  2. Step 2: Convert to fraction form
    1,216.27/1,825.26 = 486.01/x
  3. Step 3: Cross multiply
    1,216.27x = 1,825.26 × 486.01
  4. Step 4: Simplify right side
    1,216.27x = 887,094.61
  5. Step 5: Solve for x
    x = 887,094.61/1,216.27
  6. Step 6: Final answer
    x = 729.36

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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.