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Finding the Fourth Proportional to 656.33, 983.80 and 331.01

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Solution

The fourth proportional to 656.33, 983.80 and 331.01 is: 496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.33 : 983.80 = 331.01 : x
  2. Step 2: Convert to fraction form
    656.33/983.80 = 331.01/x
  3. Step 3: Cross multiply
    656.33x = 983.80 × 331.01
  4. Step 4: Simplify right side
    656.33x = 325,647.64
  5. Step 5: Solve for x
    x = 325,647.64/656.33
  6. Step 6: Final answer
    x = 496.16

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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.