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Finding the Fourth Proportional to 947.31, 1,421.32 and 331.07

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Solution

The fourth proportional to 947.31, 1,421.32 and 331.07 is: 496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.31 : 1,421.32 = 331.07 : x
  2. Step 2: Convert to fraction form
    947.31/1,421.32 = 331.07/x
  3. Step 3: Cross multiply
    947.31x = 1,421.32 × 331.07
  4. Step 4: Simplify right side
    947.31x = 470,560.79
  5. Step 5: Solve for x
    x = 470,560.79/947.31
  6. Step 6: Final answer
    x = 496.74

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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.