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Finding the Fourth Proportional to 407.19, 609.75 and 349.79

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Solution

The fourth proportional to 407.19, 609.75 and 349.79 is: 523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.19 : 609.75 = 349.79 : x
  2. Step 2: Convert to fraction form
    407.19/609.75 = 349.79/x
  3. Step 3: Cross multiply
    407.19x = 609.75 × 349.79
  4. Step 4: Simplify right side
    407.19x = 213,284.45
  5. Step 5: Solve for x
    x = 213,284.45/407.19
  6. Step 6: Final answer
    x = 523.80

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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.