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Finding the Fourth Proportional to 398.99, 593.76 and 384.41

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Solution

The fourth proportional to 398.99, 593.76 and 384.41 is: 572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.99 : 593.76 = 384.41 : x
  2. Step 2: Convert to fraction form
    398.99/593.76 = 384.41/x
  3. Step 3: Cross multiply
    398.99x = 593.76 × 384.41
  4. Step 4: Simplify right side
    398.99x = 228,244.31
  5. Step 5: Solve for x
    x = 228,244.31/398.99
  6. Step 6: Final answer
    x = 572.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.