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Finding the Fourth Proportional to 3,203, 4,804.50 and 771

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Solution

The fourth proportional to 3,203, 4,804.50 and 771 is: 1,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203 : 4,804.50 = 771 : x
  2. Step 2: Convert to fraction form
    3,203/4,804.50 = 771/x
  3. Step 3: Cross multiply
    3,203x = 4,804.50 × 771
  4. Step 4: Simplify right side
    3,203x = 3,704,269.50
  5. Step 5: Solve for x
    x = 3,704,269.50/3,203
  6. Step 6: Final answer
    x = 1,156.50

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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.