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Finding the Fourth Proportional to 2,277.77, 3,416.67 and 634.43

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Solution

The fourth proportional to 2,277.77, 3,416.67 and 634.43 is: 951.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.77 : 3,416.67 = 634.43 : x
  2. Step 2: Convert to fraction form
    2,277.77/3,416.67 = 634.43/x
  3. Step 3: Cross multiply
    2,277.77x = 3,416.67 × 634.43
  4. Step 4: Simplify right side
    2,277.77x = 2,167,646.49
  5. Step 5: Solve for x
    x = 2,167,646.49/2,277.77
  6. Step 6: Final answer
    x = 951.66

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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.