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Finding the Fourth Proportional to 852.54, 1,278.86 and 275.46

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Solution

The fourth proportional to 852.54, 1,278.86 and 275.46 is: 413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.54 : 1,278.86 = 275.46 : x
  2. Step 2: Convert to fraction form
    852.54/1,278.86 = 275.46/x
  3. Step 3: Cross multiply
    852.54x = 1,278.86 × 275.46
  4. Step 4: Simplify right side
    852.54x = 352,273.40
  5. Step 5: Solve for x
    x = 352,273.40/852.54
  6. Step 6: Final answer
    x = 413.20

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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.