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Finding the Fourth Proportional to 1,216.50, 1,825.20 and 729.89

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Solution

The fourth proportional to 1,216.50, 1,825.20 and 729.89 is: 1,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.50 : 1,825.20 = 729.89 : x
  2. Step 2: Convert to fraction form
    1,216.50/1,825.20 = 729.89/x
  3. Step 3: Cross multiply
    1,216.50x = 1,825.20 × 729.89
  4. Step 4: Simplify right side
    1,216.50x = 1,332,186.10
  5. Step 5: Solve for x
    x = 1,332,186.10/1,216.50
  6. Step 6: Final answer
    x = 1,095.10

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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.