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Finding the Fourth Proportional to 1,191.50, 1,643.20 and 771.41

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Solution

The fourth proportional to 1,191.50, 1,643.20 and 771.41 is: 1,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.50 : 1,643.20 = 771.41 : x
  2. Step 2: Convert to fraction form
    1,191.50/1,643.20 = 771.41/x
  3. Step 3: Cross multiply
    1,191.50x = 1,643.20 × 771.41
  4. Step 4: Simplify right side
    1,191.50x = 1,267,583.09
  5. Step 5: Solve for x
    x = 1,267,583.09/1,191.50
  6. Step 6: Final answer
    x = 1,063.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.