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Finding the Fourth Proportional to 852.83, 1,278.02 and 486.86

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Solution

The fourth proportional to 852.83, 1,278.02 and 486.86 is: 729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.83 : 1,278.02 = 486.86 : x
  2. Step 2: Convert to fraction form
    852.83/1,278.02 = 486.86/x
  3. Step 3: Cross multiply
    852.83x = 1,278.02 × 486.86
  4. Step 4: Simplify right side
    852.83x = 622,210.43
  5. Step 5: Solve for x
    x = 622,210.43/852.83
  6. Step 6: Final answer
    x = 729.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.