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Finding the Fourth Proportional to 421.91, 629.81 and 364.50

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Solution

The fourth proportional to 421.91, 629.81 and 364.50 is: 544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.91 : 629.81 = 364.50 : x
  2. Step 2: Convert to fraction form
    421.91/629.81 = 364.50/x
  3. Step 3: Cross multiply
    421.91x = 629.81 × 364.50
  4. Step 4: Simplify right side
    421.91x = 229,562.41
  5. Step 5: Solve for x
    x = 229,562.41/421.91
  6. Step 6: Final answer
    x = 544.11

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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.