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Finding the Fourth Proportional to 655.78, 983.79 and 290.58

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Solution

The fourth proportional to 655.78, 983.79 and 290.58 is: 435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.78 : 983.79 = 290.58 : x
  2. Step 2: Convert to fraction form
    655.78/983.79 = 290.58/x
  3. Step 3: Cross multiply
    655.78x = 983.79 × 290.58
  4. Step 4: Simplify right side
    655.78x = 285,863.33
  5. Step 5: Solve for x
    x = 285,863.33/655.78
  6. Step 6: Final answer
    x = 435.92

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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.