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Finding the Fourth Proportional to 443.75, 668.95 and 414.02

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Solution

The fourth proportional to 443.75, 668.95 and 414.02 is: 624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.75 : 668.95 = 414.02 : x
  2. Step 2: Convert to fraction form
    443.75/668.95 = 414.02/x
  3. Step 3: Cross multiply
    443.75x = 668.95 × 414.02
  4. Step 4: Simplify right side
    443.75x = 276,958.36
  5. Step 5: Solve for x
    x = 276,958.36/443.75
  6. Step 6: Final answer
    x = 624.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.