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Finding the Fourth Proportional to 1,222.12, 1,830.62 and 538.60

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Solution

The fourth proportional to 1,222.12, 1,830.62 and 538.60 is: 806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.12 : 1,830.62 = 538.60 : x
  2. Step 2: Convert to fraction form
    1,222.12/1,830.62 = 538.60/x
  3. Step 3: Cross multiply
    1,222.12x = 1,830.62 × 538.60
  4. Step 4: Simplify right side
    1,222.12x = 985,971.93
  5. Step 5: Solve for x
    x = 985,971.93/1,222.12
  6. Step 6: Final answer
    x = 806.77

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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.