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Finding the Fourth Proportional to 947.21, 1,420.31 and 330.74

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Solution

The fourth proportional to 947.21, 1,420.31 and 330.74 is: 495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.21 : 1,420.31 = 330.74 : x
  2. Step 2: Convert to fraction form
    947.21/1,420.31 = 330.74/x
  3. Step 3: Cross multiply
    947.21x = 1,420.31 × 330.74
  4. Step 4: Simplify right side
    947.21x = 469,747.05
  5. Step 5: Solve for x
    x = 469,747.05/947.21
  6. Step 6: Final answer
    x = 495.93

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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.