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Finding the Fourth Proportional to 654.30, 980.94 and 394.29

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Solution

The fourth proportional to 654.30, 980.94 and 394.29 is: 591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.30 : 980.94 = 394.29 : x
  2. Step 2: Convert to fraction form
    654.30/980.94 = 394.29/x
  3. Step 3: Cross multiply
    654.30x = 980.94 × 394.29
  4. Step 4: Simplify right side
    654.30x = 386,774.83
  5. Step 5: Solve for x
    x = 386,774.83/654.30
  6. Step 6: Final answer
    x = 591.13

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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.