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Finding the Fourth Proportional to 446.14, 668.58 and 421.50

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Solution

The fourth proportional to 446.14, 668.58 and 421.50 is: 631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.14 : 668.58 = 421.50 : x
  2. Step 2: Convert to fraction form
    446.14/668.58 = 421.50/x
  3. Step 3: Cross multiply
    446.14x = 668.58 × 421.50
  4. Step 4: Simplify right side
    446.14x = 281,806.47
  5. Step 5: Solve for x
    x = 281,806.47/446.14
  6. Step 6: Final answer
    x = 631.65

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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.