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Finding the Fourth Proportional to 655.62, 983.35 and 411.54

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Solution

The fourth proportional to 655.62, 983.35 and 411.54 is: 617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.62 : 983.35 = 411.54 : x
  2. Step 2: Convert to fraction form
    655.62/983.35 = 411.54/x
  3. Step 3: Cross multiply
    655.62x = 983.35 × 411.54
  4. Step 4: Simplify right side
    655.62x = 404,687.86
  5. Step 5: Solve for x
    x = 404,687.86/655.62
  6. Step 6: Final answer
    x = 617.26

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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.