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Finding the Fourth Proportional to 559.99, 840.32 and 329.33

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Solution

The fourth proportional to 559.99, 840.32 and 329.33 is: 494.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.99 : 840.32 = 329.33 : x
  2. Step 2: Convert to fraction form
    559.99/840.32 = 329.33/x
  3. Step 3: Cross multiply
    559.99x = 840.32 × 329.33
  4. Step 4: Simplify right side
    559.99x = 276,738.38
  5. Step 5: Solve for x
    x = 276,738.38/559.99
  6. Step 6: Final answer
    x = 494.19

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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.