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Finding the Fourth Proportional to 683.76, 937.90 and 677.90

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Solution

The fourth proportional to 683.76, 937.90 and 677.90 is: 929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.76 : 937.90 = 677.90 : x
  2. Step 2: Convert to fraction form
    683.76/937.90 = 677.90/x
  3. Step 3: Cross multiply
    683.76x = 937.90 × 677.90
  4. Step 4: Simplify right side
    683.76x = 635,802.41
  5. Step 5: Solve for x
    x = 635,802.41/683.76
  6. Step 6: Final answer
    x = 929.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.