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Finding the Fourth Proportional to 421.58, 629.57 and 363.94

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Solution

The fourth proportional to 421.58, 629.57 and 363.94 is: 543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.58 : 629.57 = 363.94 : x
  2. Step 2: Convert to fraction form
    421.58/629.57 = 363.94/x
  3. Step 3: Cross multiply
    421.58x = 629.57 × 363.94
  4. Step 4: Simplify right side
    421.58x = 229,128.58
  5. Step 5: Solve for x
    x = 229,128.58/421.58
  6. Step 6: Final answer
    x = 543.50

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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.