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Finding the Fourth Proportional to 404.64, 609.75 and 334.08

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Solution

The fourth proportional to 404.64, 609.75 and 334.08 is: 503.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.64 : 609.75 = 334.08 : x
  2. Step 2: Convert to fraction form
    404.64/609.75 = 334.08/x
  3. Step 3: Cross multiply
    404.64x = 609.75 × 334.08
  4. Step 4: Simplify right side
    404.64x = 203,705.28
  5. Step 5: Solve for x
    x = 203,705.28/404.64
  6. Step 6: Final answer
    x = 503.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.