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Finding the Fourth Proportional to 955.62, 1,433.82 and 378.90

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Solution

The fourth proportional to 955.62, 1,433.82 and 378.90 is: 568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.62 : 1,433.82 = 378.90 : x
  2. Step 2: Convert to fraction form
    955.62/1,433.82 = 378.90/x
  3. Step 3: Cross multiply
    955.62x = 1,433.82 × 378.90
  4. Step 4: Simplify right side
    955.62x = 543,274.40
  5. Step 5: Solve for x
    x = 543,274.40/955.62
  6. Step 6: Final answer
    x = 568.50

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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.