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Finding the Fourth Proportional to 655.80, 983.91 and 290.46

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Solution

The fourth proportional to 655.80, 983.91 and 290.46 is: 435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.80 : 983.91 = 290.46 : x
  2. Step 2: Convert to fraction form
    655.80/983.91 = 290.46/x
  3. Step 3: Cross multiply
    655.80x = 983.91 × 290.46
  4. Step 4: Simplify right side
    655.80x = 285,786.50
  5. Step 5: Solve for x
    x = 285,786.50/655.80
  6. Step 6: Final answer
    x = 435.78

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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.