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Finding the Fourth Proportional to 879.72, 1,213.98 and 569.22

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Solution

The fourth proportional to 879.72, 1,213.98 and 569.22 is: 785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.72 : 1,213.98 = 569.22 : x
  2. Step 2: Convert to fraction form
    879.72/1,213.98 = 569.22/x
  3. Step 3: Cross multiply
    879.72x = 1,213.98 × 569.22
  4. Step 4: Simplify right side
    879.72x = 691,021.70
  5. Step 5: Solve for x
    x = 691,021.70/879.72
  6. Step 6: Final answer
    x = 785.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.