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Finding the Fourth Proportional to 785.76, 1,181.04 and 767.28

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Solution

The fourth proportional to 785.76, 1,181.04 and 767.28 is: 1,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.76 : 1,181.04 = 767.28 : x
  2. Step 2: Convert to fraction form
    785.76/1,181.04 = 767.28/x
  3. Step 3: Cross multiply
    785.76x = 1,181.04 × 767.28
  4. Step 4: Simplify right side
    785.76x = 906,188.37
  5. Step 5: Solve for x
    x = 906,188.37/785.76
  6. Step 6: Final answer
    x = 1,153.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.