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Finding the Fourth Proportional to 879.10, 1,213.13 and 486.12

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Solution

The fourth proportional to 879.10, 1,213.13 and 486.12 is: 670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.10 : 1,213.13 = 486.12 : x
  2. Step 2: Convert to fraction form
    879.10/1,213.13 = 486.12/x
  3. Step 3: Cross multiply
    879.10x = 1,213.13 × 486.12
  4. Step 4: Simplify right side
    879.10x = 589,722.96
  5. Step 5: Solve for x
    x = 589,722.96/879.10
  6. Step 6: Final answer
    x = 670.82

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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.