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Finding the Fourth Proportional to 947.54, 1,422.62 and 654.35

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Solution

The fourth proportional to 947.54, 1,422.62 and 654.35 is: 982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.54 : 1,422.62 = 654.35 : x
  2. Step 2: Convert to fraction form
    947.54/1,422.62 = 654.35/x
  3. Step 3: Cross multiply
    947.54x = 1,422.62 × 654.35
  4. Step 4: Simplify right side
    947.54x = 930,888.13
  5. Step 5: Solve for x
    x = 930,888.13/947.54
  6. Step 6: Final answer
    x = 982.43

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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.