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Finding the Fourth Proportional to 853.74, 1,263.20 and 851.31

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Solution

The fourth proportional to 853.74, 1,263.20 and 851.31 is: 1,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.74 : 1,263.20 = 851.31 : x
  2. Step 2: Convert to fraction form
    853.74/1,263.20 = 851.31/x
  3. Step 3: Cross multiply
    853.74x = 1,263.20 × 851.31
  4. Step 4: Simplify right side
    853.74x = 1,075,370.54
  5. Step 5: Solve for x
    x = 1,075,370.54/853.74
  6. Step 6: Final answer
    x = 1,259.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.