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Finding the Fourth Proportional to 825.94, 1,239.40 and 305.85

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Solution

The fourth proportional to 825.94, 1,239.40 and 305.85 is: 458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.94 : 1,239.40 = 305.85 : x
  2. Step 2: Convert to fraction form
    825.94/1,239.40 = 305.85/x
  3. Step 3: Cross multiply
    825.94x = 1,239.40 × 305.85
  4. Step 4: Simplify right side
    825.94x = 379,070.49
  5. Step 5: Solve for x
    x = 379,070.49/825.94
  6. Step 6: Final answer
    x = 458.96

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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.