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Finding the Fourth Proportional to 851.45, 1,268.62 and 795.56

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Solution

The fourth proportional to 851.45, 1,268.62 and 795.56 is: 1,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.45 : 1,268.62 = 795.56 : x
  2. Step 2: Convert to fraction form
    851.45/1,268.62 = 795.56/x
  3. Step 3: Cross multiply
    851.45x = 1,268.62 × 795.56
  4. Step 4: Simplify right side
    851.45x = 1,009,264.51
  5. Step 5: Solve for x
    x = 1,009,264.51/851.45
  6. Step 6: Final answer
    x = 1,185.34

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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.