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Finding the Fourth Proportional to 446.31, 672.84 and 374.63

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Solution

The fourth proportional to 446.31, 672.84 and 374.63 is: 564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.31 : 672.84 = 374.63 : x
  2. Step 2: Convert to fraction form
    446.31/672.84 = 374.63/x
  3. Step 3: Cross multiply
    446.31x = 672.84 × 374.63
  4. Step 4: Simplify right side
    446.31x = 252,062.69
  5. Step 5: Solve for x
    x = 252,062.69/446.31
  6. Step 6: Final answer
    x = 564.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.