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Finding the Fourth Proportional to 884.08, 1,318.92 and 812.67

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Solution

The fourth proportional to 884.08, 1,318.92 and 812.67 is: 1,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.08 : 1,318.92 = 812.67 : x
  2. Step 2: Convert to fraction form
    884.08/1,318.92 = 812.67/x
  3. Step 3: Cross multiply
    884.08x = 1,318.92 × 812.67
  4. Step 4: Simplify right side
    884.08x = 1,071,838.72
  5. Step 5: Solve for x
    x = 1,071,838.72/884.08
  6. Step 6: Final answer
    x = 1,212.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.