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Finding the Fourth Proportional to 655.50, 983.29 and 290.29

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Solution

The fourth proportional to 655.50, 983.29 and 290.29 is: 435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.50 : 983.29 = 290.29 : x
  2. Step 2: Convert to fraction form
    655.50/983.29 = 290.29/x
  3. Step 3: Cross multiply
    655.50x = 983.29 × 290.29
  4. Step 4: Simplify right side
    655.50x = 285,439.25
  5. Step 5: Solve for x
    x = 285,439.25/655.50
  6. Step 6: Final answer
    x = 435.45

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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.