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Finding the Fourth Proportional to 419.83, 630.18 and 394.31

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Solution

The fourth proportional to 419.83, 630.18 and 394.31 is: 591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.83 : 630.18 = 394.31 : x
  2. Step 2: Convert to fraction form
    419.83/630.18 = 394.31/x
  3. Step 3: Cross multiply
    419.83x = 630.18 × 394.31
  4. Step 4: Simplify right side
    419.83x = 248,487.85
  5. Step 5: Solve for x
    x = 248,487.85/419.83
  6. Step 6: Final answer
    x = 591.88

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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.