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Finding the Fourth Proportional to 1,784.20, 2,676.70 and 688.46

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Solution

The fourth proportional to 1,784.20, 2,676.70 and 688.46 is: 1,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.20 : 2,676.70 = 688.46 : x
  2. Step 2: Convert to fraction form
    1,784.20/2,676.70 = 688.46/x
  3. Step 3: Cross multiply
    1,784.20x = 2,676.70 × 688.46
  4. Step 4: Simplify right side
    1,784.20x = 1,842,800.88
  5. Step 5: Solve for x
    x = 1,842,800.88/1,784.20
  6. Step 6: Final answer
    x = 1,032.84

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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.