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Finding the Fourth Proportional to 993.20, 1,369.32 and 771.74

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Solution

The fourth proportional to 993.20, 1,369.32 and 771.74 is: 1,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.20 : 1,369.32 = 771.74 : x
  2. Step 2: Convert to fraction form
    993.20/1,369.32 = 771.74/x
  3. Step 3: Cross multiply
    993.20x = 1,369.32 × 771.74
  4. Step 4: Simplify right side
    993.20x = 1,056,759.02
  5. Step 5: Solve for x
    x = 1,056,759.02/993.20
  6. Step 6: Final answer
    x = 1,063.99

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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.