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Finding the Fourth Proportional to 942.22, 1,405.34 and 819.52

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Solution

The fourth proportional to 942.22, 1,405.34 and 819.52 is: 1,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.22 : 1,405.34 = 819.52 : x
  2. Step 2: Convert to fraction form
    942.22/1,405.34 = 819.52/x
  3. Step 3: Cross multiply
    942.22x = 1,405.34 × 819.52
  4. Step 4: Simplify right side
    942.22x = 1,151,704.24
  5. Step 5: Solve for x
    x = 1,151,704.24/942.22
  6. Step 6: Final answer
    x = 1,222.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.