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Finding the Fourth Proportional to 947, 1,419.96 and 839

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Solution

The fourth proportional to 947, 1,419.96 and 839 is: 1,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    947 : 1,419.96 = 839 : x
  2. Step 2: Convert to fraction form
    947/1,419.96 = 839/x
  3. Step 3: Cross multiply
    947x = 1,419.96 × 839
  4. Step 4: Simplify right side
    947x = 1,191,346.44
  5. Step 5: Solve for x
    x = 1,191,346.44/947
  6. Step 6: Final answer
    x = 1,258.02

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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.