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Finding the Fourth Proportional to 688.86, 1,029.36 and 673.28

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Solution

The fourth proportional to 688.86, 1,029.36 and 673.28 is: 1,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.86 : 1,029.36 = 673.28 : x
  2. Step 2: Convert to fraction form
    688.86/1,029.36 = 673.28/x
  3. Step 3: Cross multiply
    688.86x = 1,029.36 × 673.28
  4. Step 4: Simplify right side
    688.86x = 693,049.25
  5. Step 5: Solve for x
    x = 693,049.25/688.86
  6. Step 6: Final answer
    x = 1,006.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.