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Finding the Fourth Proportional to 682.86, 1,029.06 and 649.92

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Solution

The fourth proportional to 682.86, 1,029.06 and 649.92 is: 979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.86 : 1,029.06 = 649.92 : x
  2. Step 2: Convert to fraction form
    682.86/1,029.06 = 649.92/x
  3. Step 3: Cross multiply
    682.86x = 1,029.06 × 649.92
  4. Step 4: Simplify right side
    682.86x = 668,806.68
  5. Step 5: Solve for x
    x = 668,806.68/682.86
  6. Step 6: Final answer
    x = 979.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.