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Finding the Fourth Proportional to 654.98, 983.16 and 395.60

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Solution

The fourth proportional to 654.98, 983.16 and 395.60 is: 593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.98 : 983.16 = 395.60 : x
  2. Step 2: Convert to fraction form
    654.98/983.16 = 395.60/x
  3. Step 3: Cross multiply
    654.98x = 983.16 × 395.60
  4. Step 4: Simplify right side
    654.98x = 388,933.18
  5. Step 5: Solve for x
    x = 388,933.18/654.98
  6. Step 6: Final answer
    x = 593.81

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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.