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Finding the Fourth Proportional to 1,688.38, 2,329.90 and 942.37

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Solution

The fourth proportional to 1,688.38, 2,329.90 and 942.37 is: 1,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.38 : 2,329.90 = 942.37 : x
  2. Step 2: Convert to fraction form
    1,688.38/2,329.90 = 942.37/x
  3. Step 3: Cross multiply
    1,688.38x = 2,329.90 × 942.37
  4. Step 4: Simplify right side
    1,688.38x = 2,195,627.86
  5. Step 5: Solve for x
    x = 2,195,627.86/1,688.38
  6. Step 6: Final answer
    x = 1,300.43

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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.