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Finding the Fourth Proportional to 879.14, 1,213.24 and 529.63

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Solution

The fourth proportional to 879.14, 1,213.24 and 529.63 is: 730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.14 : 1,213.24 = 529.63 : x
  2. Step 2: Convert to fraction form
    879.14/1,213.24 = 529.63/x
  3. Step 3: Cross multiply
    879.14x = 1,213.24 × 529.63
  4. Step 4: Simplify right side
    879.14x = 642,568.30
  5. Step 5: Solve for x
    x = 642,568.30/879.14
  6. Step 6: Final answer
    x = 730.91

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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.