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Finding the Fourth Proportional to 879.25, 1,213.26 and 486.22

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Solution

The fourth proportional to 879.25, 1,213.26 and 486.22 is: 670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.25 : 1,213.26 = 486.22 : x
  2. Step 2: Convert to fraction form
    879.25/1,213.26 = 486.22/x
  3. Step 3: Cross multiply
    879.25x = 1,213.26 × 486.22
  4. Step 4: Simplify right side
    879.25x = 589,911.28
  5. Step 5: Solve for x
    x = 589,911.28/879.25
  6. Step 6: Final answer
    x = 670.93

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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.