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Finding the Fourth Proportional to 879.42, 1,213.49 and 565.11

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Solution

The fourth proportional to 879.42, 1,213.49 and 565.11 is: 779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.42 : 1,213.49 = 565.11 : x
  2. Step 2: Convert to fraction form
    879.42/1,213.49 = 565.11/x
  3. Step 3: Cross multiply
    879.42x = 1,213.49 × 565.11
  4. Step 4: Simplify right side
    879.42x = 685,752.51
  5. Step 5: Solve for x
    x = 685,752.51/879.42
  6. Step 6: Final answer
    x = 779.78

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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.