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Finding the Fourth Proportional to 842.05, 1,263.44 and 294.62

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Solution

The fourth proportional to 842.05, 1,263.44 and 294.62 is: 442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.05 : 1,263.44 = 294.62 : x
  2. Step 2: Convert to fraction form
    842.05/1,263.44 = 294.62/x
  3. Step 3: Cross multiply
    842.05x = 1,263.44 × 294.62
  4. Step 4: Simplify right side
    842.05x = 372,233.22
  5. Step 5: Solve for x
    x = 372,233.22/842.05
  6. Step 6: Final answer
    x = 442.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.