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Finding the Fourth Proportional to 419.63, 578.88 and 336.84

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Solution

The fourth proportional to 419.63, 578.88 and 336.84 is: 464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.63 : 578.88 = 336.84 : x
  2. Step 2: Convert to fraction form
    419.63/578.88 = 336.84/x
  3. Step 3: Cross multiply
    419.63x = 578.88 × 336.84
  4. Step 4: Simplify right side
    419.63x = 194,989.94
  5. Step 5: Solve for x
    x = 194,989.94/419.63
  6. Step 6: Final answer
    x = 464.68

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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.