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Finding the Fourth Proportional to 911.53, 1,258.88 and 716.53

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Solution

The fourth proportional to 911.53, 1,258.88 and 716.53 is: 989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.53 : 1,258.88 = 716.53 : x
  2. Step 2: Convert to fraction form
    911.53/1,258.88 = 716.53/x
  3. Step 3: Cross multiply
    911.53x = 1,258.88 × 716.53
  4. Step 4: Simplify right side
    911.53x = 902,025.29
  5. Step 5: Solve for x
    x = 902,025.29/911.53
  6. Step 6: Final answer
    x = 989.57

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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.