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Finding the Fourth Proportional to 1,212.18, 1,672.83 and 688.16

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Solution

The fourth proportional to 1,212.18, 1,672.83 and 688.16 is: 949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.18 : 1,672.83 = 688.16 : x
  2. Step 2: Convert to fraction form
    1,212.18/1,672.83 = 688.16/x
  3. Step 3: Cross multiply
    1,212.18x = 1,672.83 × 688.16
  4. Step 4: Simplify right side
    1,212.18x = 1,151,166.33
  5. Step 5: Solve for x
    x = 1,151,166.33/1,212.18
  6. Step 6: Final answer
    x = 949.67

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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.