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Finding the Fourth Proportional to 476.23, 713.09 and 383.18

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Solution

The fourth proportional to 476.23, 713.09 and 383.18 is: 573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.23 : 713.09 = 383.18 : x
  2. Step 2: Convert to fraction form
    476.23/713.09 = 383.18/x
  3. Step 3: Cross multiply
    476.23x = 713.09 × 383.18
  4. Step 4: Simplify right side
    476.23x = 273,241.83
  5. Step 5: Solve for x
    x = 273,241.83/476.23
  6. Step 6: Final answer
    x = 573.76

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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.