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Finding the Fourth Proportional to 1,147.72, 1,717.46 and 994.16

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Solution

The fourth proportional to 1,147.72, 1,717.46 and 994.16 is: 1,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.72 : 1,717.46 = 994.16 : x
  2. Step 2: Convert to fraction form
    1,147.72/1,717.46 = 994.16/x
  3. Step 3: Cross multiply
    1,147.72x = 1,717.46 × 994.16
  4. Step 4: Simplify right side
    1,147.72x = 1,707,425.06
  5. Step 5: Solve for x
    x = 1,707,425.06/1,147.72
  6. Step 6: Final answer
    x = 1,487.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.