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Finding the Fourth Proportional to 969.98, 1,337.72 and 872.06

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Solution

The fourth proportional to 969.98, 1,337.72 and 872.06 is: 1,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.98 : 1,337.72 = 872.06 : x
  2. Step 2: Convert to fraction form
    969.98/1,337.72 = 872.06/x
  3. Step 3: Cross multiply
    969.98x = 1,337.72 × 872.06
  4. Step 4: Simplify right side
    969.98x = 1,166,561.05
  5. Step 5: Solve for x
    x = 1,166,561.05/969.98
  6. Step 6: Final answer
    x = 1,202.67

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Why These Related Problems?

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