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Finding the Fourth Proportional to 852.61, 1,273.40 and 805.23

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Solution

The fourth proportional to 852.61, 1,273.40 and 805.23 is: 1,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.61 : 1,273.40 = 805.23 : x
  2. Step 2: Convert to fraction form
    852.61/1,273.40 = 805.23/x
  3. Step 3: Cross multiply
    852.61x = 1,273.40 × 805.23
  4. Step 4: Simplify right side
    852.61x = 1,025,379.88
  5. Step 5: Solve for x
    x = 1,025,379.88/852.61
  6. Step 6: Final answer
    x = 1,202.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.