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Finding the Fourth Proportional to 654.34, 979.09 and 394.51

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Solution

The fourth proportional to 654.34, 979.09 and 394.51 is: 590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.34 : 979.09 = 394.51 : x
  2. Step 2: Convert to fraction form
    654.34/979.09 = 394.51/x
  3. Step 3: Cross multiply
    654.34x = 979.09 × 394.51
  4. Step 4: Simplify right side
    654.34x = 386,260.80
  5. Step 5: Solve for x
    x = 386,260.80/654.34
  6. Step 6: Final answer
    x = 590.31

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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.