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Finding the Fourth Proportional to 947.86, 1,422.48 and 537.34

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Solution

The fourth proportional to 947.86, 1,422.48 and 537.34 is: 806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.86 : 1,422.48 = 537.34 : x
  2. Step 2: Convert to fraction form
    947.86/1,422.48 = 537.34/x
  3. Step 3: Cross multiply
    947.86x = 1,422.48 × 537.34
  4. Step 4: Simplify right side
    947.86x = 764,355.40
  5. Step 5: Solve for x
    x = 764,355.40/947.86
  6. Step 6: Final answer
    x = 806.40

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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.