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Finding the Fourth Proportional to 656.23, 983.73 and 326.96

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Solution

The fourth proportional to 656.23, 983.73 and 326.96 is: 490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.23 : 983.73 = 326.96 : x
  2. Step 2: Convert to fraction form
    656.23/983.73 = 326.96/x
  3. Step 3: Cross multiply
    656.23x = 983.73 × 326.96
  4. Step 4: Simplify right side
    656.23x = 321,640.36
  5. Step 5: Solve for x
    x = 321,640.36/656.23
  6. Step 6: Final answer
    x = 490.13

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1.5x scale

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.