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Finding the Fourth Proportional to 1,783.77, 2,676.43 and 688.91

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Solution

The fourth proportional to 1,783.77, 2,676.43 and 688.91 is: 1,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.77 : 2,676.43 = 688.91 : x
  2. Step 2: Convert to fraction form
    1,783.77/2,676.43 = 688.91/x
  3. Step 3: Cross multiply
    1,783.77x = 2,676.43 × 688.91
  4. Step 4: Simplify right side
    1,783.77x = 1,843,806.01
  5. Step 5: Solve for x
    x = 1,843,806.01/1,783.77
  6. Step 6: Final answer
    x = 1,033.66

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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.