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Finding the Fourth Proportional to 879.36, 1,212.72 and 775.68

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Solution

The fourth proportional to 879.36, 1,212.72 and 775.68 is: 1,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.36 : 1,212.72 = 775.68 : x
  2. Step 2: Convert to fraction form
    879.36/1,212.72 = 775.68/x
  3. Step 3: Cross multiply
    879.36x = 1,212.72 × 775.68
  4. Step 4: Simplify right side
    879.36x = 940,682.65
  5. Step 5: Solve for x
    x = 940,682.65/879.36
  6. Step 6: Final answer
    x = 1,069.74

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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.