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Finding the Fourth Proportional to 2,277.92, 3,416.68 and 634.50

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Solution

The fourth proportional to 2,277.92, 3,416.68 and 634.50 is: 951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.92 : 3,416.68 = 634.50 : x
  2. Step 2: Convert to fraction form
    2,277.92/3,416.68 = 634.50/x
  3. Step 3: Cross multiply
    2,277.92x = 3,416.68 × 634.50
  4. Step 4: Simplify right side
    2,277.92x = 2,167,883.46
  5. Step 5: Solve for x
    x = 2,167,883.46/2,277.92
  6. Step 6: Final answer
    x = 951.69

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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.