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Finding the Fourth Proportional to 481.72, 719.33 and 476.64

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Solution

The fourth proportional to 481.72, 719.33 and 476.64 is: 711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.72 : 719.33 = 476.64 : x
  2. Step 2: Convert to fraction form
    481.72/719.33 = 476.64/x
  3. Step 3: Cross multiply
    481.72x = 719.33 × 476.64
  4. Step 4: Simplify right side
    481.72x = 342,857.85
  5. Step 5: Solve for x
    x = 342,857.85/481.72
  6. Step 6: Final answer
    x = 711.74

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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.