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Finding the Fourth Proportional to 993.26, 1,372.34 and 785.03

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Solution

The fourth proportional to 993.26, 1,372.34 and 785.03 is: 1,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.26 : 1,372.34 = 785.03 : x
  2. Step 2: Convert to fraction form
    993.26/1,372.34 = 785.03/x
  3. Step 3: Cross multiply
    993.26x = 1,372.34 × 785.03
  4. Step 4: Simplify right side
    993.26x = 1,077,324.64
  5. Step 5: Solve for x
    x = 1,077,324.64/993.26
  6. Step 6: Final answer
    x = 1,084.64

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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.