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Finding the Fourth Proportional to 655.78, 983.41 and 290.31

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Solution

The fourth proportional to 655.78, 983.41 and 290.31 is: 435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.78 : 983.41 = 290.31 : x
  2. Step 2: Convert to fraction form
    655.78/983.41 = 290.31/x
  3. Step 3: Cross multiply
    655.78x = 983.41 × 290.31
  4. Step 4: Simplify right side
    655.78x = 285,491.19
  5. Step 5: Solve for x
    x = 285,491.19/655.78
  6. Step 6: Final answer
    x = 435.35

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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.