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Finding the Fourth Proportional to 1,334.50, 1,840.97 and 836.89

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Solution

The fourth proportional to 1,334.50, 1,840.97 and 836.89 is: 1,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.50 : 1,840.97 = 836.89 : x
  2. Step 2: Convert to fraction form
    1,334.50/1,840.97 = 836.89/x
  3. Step 3: Cross multiply
    1,334.50x = 1,840.97 × 836.89
  4. Step 4: Simplify right side
    1,334.50x = 1,540,683.73
  5. Step 5: Solve for x
    x = 1,540,683.73/1,334.50
  6. Step 6: Final answer
    x = 1,154.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.