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Finding the Fourth Proportional to 997.60, 1,377.32 and 683.39

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Solution

The fourth proportional to 997.60, 1,377.32 and 683.39 is: 943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.60 : 1,377.32 = 683.39 : x
  2. Step 2: Convert to fraction form
    997.60/1,377.32 = 683.39/x
  3. Step 3: Cross multiply
    997.60x = 1,377.32 × 683.39
  4. Step 4: Simplify right side
    997.60x = 941,246.71
  5. Step 5: Solve for x
    x = 941,246.71/997.60
  6. Step 6: Final answer
    x = 943.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.