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Finding the Fourth Proportional to 535.60, 739.38 and 378.64

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Solution

The fourth proportional to 535.60, 739.38 and 378.64 is: 522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.60 : 739.38 = 378.64 : x
  2. Step 2: Convert to fraction form
    535.60/739.38 = 378.64/x
  3. Step 3: Cross multiply
    535.60x = 739.38 × 378.64
  4. Step 4: Simplify right side
    535.60x = 279,958.84
  5. Step 5: Solve for x
    x = 279,958.84/535.60
  6. Step 6: Final answer
    x = 522.70

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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.