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Finding the Fourth Proportional to 495.99, 744 and 380.61

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Solution

The fourth proportional to 495.99, 744 and 380.61 is: 570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.99 : 744 = 380.61 : x
  2. Step 2: Convert to fraction form
    495.99/744 = 380.61/x
  3. Step 3: Cross multiply
    495.99x = 744 × 380.61
  4. Step 4: Simplify right side
    495.99x = 283,173.84
  5. Step 5: Solve for x
    x = 283,173.84/495.99
  6. Step 6: Final answer
    x = 570.93

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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.