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Finding the Fourth Proportional to 852.86, 1,279.49 and 305.00

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Solution

The fourth proportional to 852.86, 1,279.49 and 305.00 is: 457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.86 : 1,279.49 = 305.00 : x
  2. Step 2: Convert to fraction form
    852.86/1,279.49 = 305.00/x
  3. Step 3: Cross multiply
    852.86x = 1,279.49 × 305.00
  4. Step 4: Simplify right side
    852.86x = 390,236.53
  5. Step 5: Solve for x
    x = 390,236.53/852.86
  6. Step 6: Final answer
    x = 457.56

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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.