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Finding the Fourth Proportional to 857.45, 1,286.33 and 654.54

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Solution

The fourth proportional to 857.45, 1,286.33 and 654.54 is: 981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.45 : 1,286.33 = 654.54 : x
  2. Step 2: Convert to fraction form
    857.45/1,286.33 = 654.54/x
  3. Step 3: Cross multiply
    857.45x = 1,286.33 × 654.54
  4. Step 4: Simplify right side
    857.45x = 841,954.44
  5. Step 5: Solve for x
    x = 841,954.44/857.45
  6. Step 6: Final answer
    x = 981.93

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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.