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Finding the Fourth Proportional to 495.82, 739.99 and 482.86

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Solution

The fourth proportional to 495.82, 739.99 and 482.86 is: 720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.82 : 739.99 = 482.86 : x
  2. Step 2: Convert to fraction form
    495.82/739.99 = 482.86/x
  3. Step 3: Cross multiply
    495.82x = 739.99 × 482.86
  4. Step 4: Simplify right side
    495.82x = 357,311.57
  5. Step 5: Solve for x
    x = 357,311.57/495.82
  6. Step 6: Final answer
    x = 720.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.