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Finding the Fourth Proportional to 956, 1,434.60 and 378.86

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Solution

The fourth proportional to 956, 1,434.60 and 378.86 is: 568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    956 : 1,434.60 = 378.86 : x
  2. Step 2: Convert to fraction form
    956/1,434.60 = 378.86/x
  3. Step 3: Cross multiply
    956x = 1,434.60 × 378.86
  4. Step 4: Simplify right side
    956x = 543,512.56
  5. Step 5: Solve for x
    x = 543,512.56/956
  6. Step 6: Final answer
    x = 568.53

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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.