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Finding the Fourth Proportional to 879.30, 1,213.45 and 486.33

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Solution

The fourth proportional to 879.30, 1,213.45 and 486.33 is: 671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.30 : 1,213.45 = 486.33 : x
  2. Step 2: Convert to fraction form
    879.30/1,213.45 = 486.33/x
  3. Step 3: Cross multiply
    879.30x = 1,213.45 × 486.33
  4. Step 4: Simplify right side
    879.30x = 590,137.14
  5. Step 5: Solve for x
    x = 590,137.14/879.30
  6. Step 6: Final answer
    x = 671.14

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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.