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Finding the Fourth Proportional to 399.72, 598.50 and 328.44

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Solution

The fourth proportional to 399.72, 598.50 and 328.44 is: 491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.72 : 598.50 = 328.44 : x
  2. Step 2: Convert to fraction form
    399.72/598.50 = 328.44/x
  3. Step 3: Cross multiply
    399.72x = 598.50 × 328.44
  4. Step 4: Simplify right side
    399.72x = 196,571.34
  5. Step 5: Solve for x
    x = 196,571.34/399.72
  6. Step 6: Final answer
    x = 491.77

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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.