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Finding the Fourth Proportional to 955.58, 1,427.06 and 825.84

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Solution

The fourth proportional to 955.58, 1,427.06 and 825.84 is: 1,233.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.58 : 1,427.06 = 825.84 : x
  2. Step 2: Convert to fraction form
    955.58/1,427.06 = 825.84/x
  3. Step 3: Cross multiply
    955.58x = 1,427.06 × 825.84
  4. Step 4: Simplify right side
    955.58x = 1,178,523.23
  5. Step 5: Solve for x
    x = 1,178,523.23/955.58
  6. Step 6: Final answer
    x = 1,233.31

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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.