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Finding the Fourth Proportional to 656.06, 983.69 and 285.75

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Solution

The fourth proportional to 656.06, 983.69 and 285.75 is: 428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.06 : 983.69 = 285.75 : x
  2. Step 2: Convert to fraction form
    656.06/983.69 = 285.75/x
  3. Step 3: Cross multiply
    656.06x = 983.69 × 285.75
  4. Step 4: Simplify right side
    656.06x = 281,093.43
  5. Step 5: Solve for x
    x = 281,093.43/656.06
  6. Step 6: Final answer
    x = 428.46

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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.