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Finding the Fourth Proportional to 879.04, 1,213.14 and 543.03

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Solution

The fourth proportional to 879.04, 1,213.14 and 543.03 is: 749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.04 : 1,213.14 = 543.03 : x
  2. Step 2: Convert to fraction form
    879.04/1,213.14 = 543.03/x
  3. Step 3: Cross multiply
    879.04x = 1,213.14 × 543.03
  4. Step 4: Simplify right side
    879.04x = 658,765.35
  5. Step 5: Solve for x
    x = 658,765.35/879.04
  6. Step 6: Final answer
    x = 749.41

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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.