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Finding the Fourth Proportional to 955.74, 1,434.31 and 378.78

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Solution

The fourth proportional to 955.74, 1,434.31 and 378.78 is: 568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.74 : 1,434.31 = 378.78 : x
  2. Step 2: Convert to fraction form
    955.74/1,434.31 = 378.78/x
  3. Step 3: Cross multiply
    955.74x = 1,434.31 × 378.78
  4. Step 4: Simplify right side
    955.74x = 543,287.94
  5. Step 5: Solve for x
    x = 543,287.94/955.74
  6. Step 6: Final answer
    x = 568.45

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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.