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Finding the Fourth Proportional to 851.79, 1,268.01 and 811.98

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Solution

The fourth proportional to 851.79, 1,268.01 and 811.98 is: 1,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.79 : 1,268.01 = 811.98 : x
  2. Step 2: Convert to fraction form
    851.79/1,268.01 = 811.98/x
  3. Step 3: Cross multiply
    851.79x = 1,268.01 × 811.98
  4. Step 4: Simplify right side
    851.79x = 1,029,598.76
  5. Step 5: Solve for x
    x = 1,029,598.76/851.79
  6. Step 6: Final answer
    x = 1,208.75

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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.