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Finding the Fourth Proportional to 852.11, 1,278.60 and 365.03

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Solution

The fourth proportional to 852.11, 1,278.60 and 365.03 is: 547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.11 : 1,278.60 = 365.03 : x
  2. Step 2: Convert to fraction form
    852.11/1,278.60 = 365.03/x
  3. Step 3: Cross multiply
    852.11x = 1,278.60 × 365.03
  4. Step 4: Simplify right side
    852.11x = 466,727.36
  5. Step 5: Solve for x
    x = 466,727.36/852.11
  6. Step 6: Final answer
    x = 547.73

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Double scale
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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.