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Finding the Fourth Proportional to 684.09, 942.03 and 579.33

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Solution

The fourth proportional to 684.09, 942.03 and 579.33 is: 797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.09 : 942.03 = 579.33 : x
  2. Step 2: Convert to fraction form
    684.09/942.03 = 579.33/x
  3. Step 3: Cross multiply
    684.09x = 942.03 × 579.33
  4. Step 4: Simplify right side
    684.09x = 545,746.24
  5. Step 5: Solve for x
    x = 545,746.24/684.09
  6. Step 6: Final answer
    x = 797.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.