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Finding the Fourth Proportional to 481.23, 718.64 and 476.09

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Solution

The fourth proportional to 481.23, 718.64 and 476.09 is: 710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.23 : 718.64 = 476.09 : x
  2. Step 2: Convert to fraction form
    481.23/718.64 = 476.09/x
  3. Step 3: Cross multiply
    481.23x = 718.64 × 476.09
  4. Step 4: Simplify right side
    481.23x = 342,133.14
  5. Step 5: Solve for x
    x = 342,133.14/481.23
  6. Step 6: Final answer
    x = 710.96

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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.