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Finding the Fourth Proportional to 473.73, 655.11 and 404.79

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Solution

The fourth proportional to 473.73, 655.11 and 404.79 is: 559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.73 : 655.11 = 404.79 : x
  2. Step 2: Convert to fraction form
    473.73/655.11 = 404.79/x
  3. Step 3: Cross multiply
    473.73x = 655.11 × 404.79
  4. Step 4: Simplify right side
    473.73x = 265,181.98
  5. Step 5: Solve for x
    x = 265,181.98/473.73
  6. Step 6: Final answer
    x = 559.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.