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Finding the Fourth Proportional to 852.39, 1,278.86 and 304.20

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Solution

The fourth proportional to 852.39, 1,278.86 and 304.20 is: 456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.39 : 1,278.86 = 304.20 : x
  2. Step 2: Convert to fraction form
    852.39/1,278.86 = 304.20/x
  3. Step 3: Cross multiply
    852.39x = 1,278.86 × 304.20
  4. Step 4: Simplify right side
    852.39x = 389,027.69
  5. Step 5: Solve for x
    x = 389,027.69/852.39
  6. Step 6: Final answer
    x = 456.40

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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.