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Finding the Fourth Proportional to 1,222.77, 1,833.32 and 589.22

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Solution

The fourth proportional to 1,222.77, 1,833.32 and 589.22 is: 883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.77 : 1,833.32 = 589.22 : x
  2. Step 2: Convert to fraction form
    1,222.77/1,833.32 = 589.22/x
  3. Step 3: Cross multiply
    1,222.77x = 1,833.32 × 589.22
  4. Step 4: Simplify right side
    1,222.77x = 1,080,221.12
  5. Step 5: Solve for x
    x = 1,080,221.12/1,222.77
  6. Step 6: Final answer
    x = 883.42

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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.