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Finding the Fourth Proportional to 947.31, 1,420.82 and 672.57

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Solution

The fourth proportional to 947.31, 1,420.82 and 672.57 is: 1,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.31 : 1,420.82 = 672.57 : x
  2. Step 2: Convert to fraction form
    947.31/1,420.82 = 672.57/x
  3. Step 3: Cross multiply
    947.31x = 1,420.82 × 672.57
  4. Step 4: Simplify right side
    947.31x = 955,601.10
  5. Step 5: Solve for x
    x = 955,601.10/947.31
  6. Step 6: Final answer
    x = 1,008.75

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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.