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Finding the Fourth Proportional to 947.10, 1,422.48 and 839.82

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Solution

The fourth proportional to 947.10, 1,422.48 and 839.82 is: 1,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.10 : 1,422.48 = 839.82 : x
  2. Step 2: Convert to fraction form
    947.10/1,422.48 = 839.82/x
  3. Step 3: Cross multiply
    947.10x = 1,422.48 × 839.82
  4. Step 4: Simplify right side
    947.10x = 1,194,627.15
  5. Step 5: Solve for x
    x = 1,194,627.15/947.10
  6. Step 6: Final answer
    x = 1,261.35

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