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Finding the Fourth Proportional to 845.71, 1,266.73 and 825.06

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Solution

The fourth proportional to 845.71, 1,266.73 and 825.06 is: 1,235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.71 : 1,266.73 = 825.06 : x
  2. Step 2: Convert to fraction form
    845.71/1,266.73 = 825.06/x
  3. Step 3: Cross multiply
    845.71x = 1,266.73 × 825.06
  4. Step 4: Simplify right side
    845.71x = 1,045,128.25
  5. Step 5: Solve for x
    x = 1,045,128.25/845.71
  6. Step 6: Final answer
    x = 1,235.80

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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.