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Finding the Fourth Proportional to 419.36, 578.93 and 325.89

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Solution

The fourth proportional to 419.36, 578.93 and 325.89 is: 449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.36 : 578.93 = 325.89 : x
  2. Step 2: Convert to fraction form
    419.36/578.93 = 325.89/x
  3. Step 3: Cross multiply
    419.36x = 578.93 × 325.89
  4. Step 4: Simplify right side
    419.36x = 188,667.50
  5. Step 5: Solve for x
    x = 188,667.50/419.36
  6. Step 6: Final answer
    x = 449.89

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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.