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Finding the Fourth Proportional to 947.81, 1,422.39 and 427.79

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Solution

The fourth proportional to 947.81, 1,422.39 and 427.79 is: 641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.81 : 1,422.39 = 427.79 : x
  2. Step 2: Convert to fraction form
    947.81/1,422.39 = 427.79/x
  3. Step 3: Cross multiply
    947.81x = 1,422.39 × 427.79
  4. Step 4: Simplify right side
    947.81x = 608,484.22
  5. Step 5: Solve for x
    x = 608,484.22/947.81
  6. Step 6: Final answer
    x = 641.99

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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.