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Finding the Fourth Proportional to 1,222.54, 1,833.71 and 389.57

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Solution

The fourth proportional to 1,222.54, 1,833.71 and 389.57 is: 584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.54 : 1,833.71 = 389.57 : x
  2. Step 2: Convert to fraction form
    1,222.54/1,833.71 = 389.57/x
  3. Step 3: Cross multiply
    1,222.54x = 1,833.71 × 389.57
  4. Step 4: Simplify right side
    1,222.54x = 714,350.21
  5. Step 5: Solve for x
    x = 714,350.21/1,222.54
  6. Step 6: Final answer
    x = 584.32

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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.