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Finding the Fourth Proportional to 852.79, 1,278.23 and 486.77

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Solution

The fourth proportional to 852.79, 1,278.23 and 486.77 is: 729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.79 : 1,278.23 = 486.77 : x
  2. Step 2: Convert to fraction form
    852.79/1,278.23 = 486.77/x
  3. Step 3: Cross multiply
    852.79x = 1,278.23 × 486.77
  4. Step 4: Simplify right side
    852.79x = 622,197.63
  5. Step 5: Solve for x
    x = 622,197.63/852.79
  6. Step 6: Final answer
    x = 729.61

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1.5x scale

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.