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Finding the Fourth Proportional to 476.28, 713.34 and 453.96

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Solution

The fourth proportional to 476.28, 713.34 and 453.96 is: 679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.28 : 713.34 = 453.96 : x
  2. Step 2: Convert to fraction form
    476.28/713.34 = 453.96/x
  3. Step 3: Cross multiply
    476.28x = 713.34 × 453.96
  4. Step 4: Simplify right side
    476.28x = 323,827.83
  5. Step 5: Solve for x
    x = 323,827.83/476.28
  6. Step 6: Final answer
    x = 679.91

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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.