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Finding the Fourth Proportional to 912.06, 1,263.60 and 892.62

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Solution

The fourth proportional to 912.06, 1,263.60 and 892.62 is: 1,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.06 : 1,263.60 = 892.62 : x
  2. Step 2: Convert to fraction form
    912.06/1,263.60 = 892.62/x
  3. Step 3: Cross multiply
    912.06x = 1,263.60 × 892.62
  4. Step 4: Simplify right side
    912.06x = 1,127,914.63
  5. Step 5: Solve for x
    x = 1,127,914.63/912.06
  6. Step 6: Final answer
    x = 1,236.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.