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Finding the Fourth Proportional to 852.66, 1,278.92 and 275.48

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Solution

The fourth proportional to 852.66, 1,278.92 and 275.48 is: 413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.66 : 1,278.92 = 275.48 : x
  2. Step 2: Convert to fraction form
    852.66/1,278.92 = 275.48/x
  3. Step 3: Cross multiply
    852.66x = 1,278.92 × 275.48
  4. Step 4: Simplify right side
    852.66x = 352,316.88
  5. Step 5: Solve for x
    x = 352,316.88/852.66
  6. Step 6: Final answer
    x = 413.20

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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.