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Finding the Fourth Proportional to 841.14, 1,258.85 and 768.11

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Solution

The fourth proportional to 841.14, 1,258.85 and 768.11 is: 1,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.14 : 1,258.85 = 768.11 : x
  2. Step 2: Convert to fraction form
    841.14/1,258.85 = 768.11/x
  3. Step 3: Cross multiply
    841.14x = 1,258.85 × 768.11
  4. Step 4: Simplify right side
    841.14x = 966,928.29
  5. Step 5: Solve for x
    x = 966,928.29/841.14
  6. Step 6: Final answer
    x = 1,149.54

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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.