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Finding the Fourth Proportional to 496, 744.09 and 313.62

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Solution

The fourth proportional to 496, 744.09 and 313.62 is: 470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496 : 744.09 = 313.62 : x
  2. Step 2: Convert to fraction form
    496/744.09 = 313.62/x
  3. Step 3: Cross multiply
    496x = 744.09 × 313.62
  4. Step 4: Simplify right side
    496x = 233,361.51
  5. Step 5: Solve for x
    x = 233,361.51/496
  6. Step 6: Final answer
    x = 470.49

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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.