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Finding the Fourth Proportional to 1,222.19, 1,833.50 and 729.01

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Solution

The fourth proportional to 1,222.19, 1,833.50 and 729.01 is: 1,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.19 : 1,833.50 = 729.01 : x
  2. Step 2: Convert to fraction form
    1,222.19/1,833.50 = 729.01/x
  3. Step 3: Cross multiply
    1,222.19x = 1,833.50 × 729.01
  4. Step 4: Simplify right side
    1,222.19x = 1,336,639.84
  5. Step 5: Solve for x
    x = 1,336,639.84/1,222.19
  6. Step 6: Final answer
    x = 1,093.64

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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.