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Finding the Fourth Proportional to 2,451.77, 3,677.43 and 696.70

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Solution

The fourth proportional to 2,451.77, 3,677.43 and 696.70 is: 1,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.77 : 3,677.43 = 696.70 : x
  2. Step 2: Convert to fraction form
    2,451.77/3,677.43 = 696.70/x
  3. Step 3: Cross multiply
    2,451.77x = 3,677.43 × 696.70
  4. Step 4: Simplify right side
    2,451.77x = 2,562,047.09
  5. Step 5: Solve for x
    x = 2,562,047.09/2,451.77
  6. Step 6: Final answer
    x = 1,044.98

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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.