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Finding the Fourth Proportional to 785.12, 1,080.92 and 744.08

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Solution

The fourth proportional to 785.12, 1,080.92 and 744.08 is: 1,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.12 : 1,080.92 = 744.08 : x
  2. Step 2: Convert to fraction form
    785.12/1,080.92 = 744.08/x
  3. Step 3: Cross multiply
    785.12x = 1,080.92 × 744.08
  4. Step 4: Simplify right side
    785.12x = 804,290.95
  5. Step 5: Solve for x
    x = 804,290.95/785.12
  6. Step 6: Final answer
    x = 1,024.42

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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.