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Finding the Fourth Proportional to 937.96, 1,407.42 and 683.56

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Solution

The fourth proportional to 937.96, 1,407.42 and 683.56 is: 1,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.96 : 1,407.42 = 683.56 : x
  2. Step 2: Convert to fraction form
    937.96/1,407.42 = 683.56/x
  3. Step 3: Cross multiply
    937.96x = 1,407.42 × 683.56
  4. Step 4: Simplify right side
    937.96x = 962,056.02
  5. Step 5: Solve for x
    x = 962,056.02/937.96
  6. Step 6: Final answer
    x = 1,025.69

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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.