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Finding the Fourth Proportional to 2,277.69, 3,416.72 and 634.25

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Solution

The fourth proportional to 2,277.69, 3,416.72 and 634.25 is: 951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.69 : 3,416.72 = 634.25 : x
  2. Step 2: Convert to fraction form
    2,277.69/3,416.72 = 634.25/x
  3. Step 3: Cross multiply
    2,277.69x = 3,416.72 × 634.25
  4. Step 4: Simplify right side
    2,277.69x = 2,167,034.41
  5. Step 5: Solve for x
    x = 2,167,034.41/2,277.69
  6. Step 6: Final answer
    x = 951.42

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1.5x scale

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.