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Finding the Fourth Proportional to 493.58, 739.89 and 365.90

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Solution

The fourth proportional to 493.58, 739.89 and 365.90 is: 548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.58 : 739.89 = 365.90 : x
  2. Step 2: Convert to fraction form
    493.58/739.89 = 365.90/x
  3. Step 3: Cross multiply
    493.58x = 739.89 × 365.90
  4. Step 4: Simplify right side
    493.58x = 270,725.75
  5. Step 5: Solve for x
    x = 270,725.75/493.58
  6. Step 6: Final answer
    x = 548.49

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1.5x scale

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.