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Finding the Fourth Proportional to 1,216.54, 1,825.29 and 729.94

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Solution

The fourth proportional to 1,216.54, 1,825.29 and 729.94 is: 1,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.54 : 1,825.29 = 729.94 : x
  2. Step 2: Convert to fraction form
    1,216.54/1,825.29 = 729.94/x
  3. Step 3: Cross multiply
    1,216.54x = 1,825.29 × 729.94
  4. Step 4: Simplify right side
    1,216.54x = 1,332,352.18
  5. Step 5: Solve for x
    x = 1,332,352.18/1,216.54
  6. Step 6: Final answer
    x = 1,095.20

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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.