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Finding the Fourth Proportional to 455.56, 679.90 and 411.82

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Solution

The fourth proportional to 455.56, 679.90 and 411.82 is: 614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.56 : 679.90 = 411.82 : x
  2. Step 2: Convert to fraction form
    455.56/679.90 = 411.82/x
  3. Step 3: Cross multiply
    455.56x = 679.90 × 411.82
  4. Step 4: Simplify right side
    455.56x = 279,996.42
  5. Step 5: Solve for x
    x = 279,996.42/455.56
  6. Step 6: Final answer
    x = 614.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.