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Finding the Fourth Proportional to 680.37, 1,021.77 and 649.59

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Solution

The fourth proportional to 680.37, 1,021.77 and 649.59 is: 975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.37 : 1,021.77 = 649.59 : x
  2. Step 2: Convert to fraction form
    680.37/1,021.77 = 649.59/x
  3. Step 3: Cross multiply
    680.37x = 1,021.77 × 649.59
  4. Step 4: Simplify right side
    680.37x = 663,731.57
  5. Step 5: Solve for x
    x = 663,731.57/680.37
  6. Step 6: Final answer
    x = 975.55

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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.