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Finding the Fourth Proportional to 404.62, 554.73 and 397.33

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Solution

The fourth proportional to 404.62, 554.73 and 397.33 is: 544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.62 : 554.73 = 397.33 : x
  2. Step 2: Convert to fraction form
    404.62/554.73 = 397.33/x
  3. Step 3: Cross multiply
    404.62x = 554.73 × 397.33
  4. Step 4: Simplify right side
    404.62x = 220,410.87
  5. Step 5: Solve for x
    x = 220,410.87/404.62
  6. Step 6: Final answer
    x = 544.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.