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Finding the Fourth Proportional to 879.10, 1,212.92 and 613.26

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Solution

The fourth proportional to 879.10, 1,212.92 and 613.26 is: 846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.10 : 1,212.92 = 613.26 : x
  2. Step 2: Convert to fraction form
    879.10/1,212.92 = 613.26/x
  3. Step 3: Cross multiply
    879.10x = 1,212.92 × 613.26
  4. Step 4: Simplify right side
    879.10x = 743,826.19
  5. Step 5: Solve for x
    x = 743,826.19/879.10
  6. Step 6: Final answer
    x = 846.12

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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.