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Finding the Fourth Proportional to 852.26, 1,275.73 and 544.35

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Solution

The fourth proportional to 852.26, 1,275.73 and 544.35 is: 814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.26 : 1,275.73 = 544.35 : x
  2. Step 2: Convert to fraction form
    852.26/1,275.73 = 544.35/x
  3. Step 3: Cross multiply
    852.26x = 1,275.73 × 544.35
  4. Step 4: Simplify right side
    852.26x = 694,442.26
  5. Step 5: Solve for x
    x = 694,442.26/852.26
  6. Step 6: Final answer
    x = 814.83

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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.