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Finding the Fourth Proportional to 476.92, 709.75 and 456.44

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Solution

The fourth proportional to 476.92, 709.75 and 456.44 is: 679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.92 : 709.75 = 456.44 : x
  2. Step 2: Convert to fraction form
    476.92/709.75 = 456.44/x
  3. Step 3: Cross multiply
    476.92x = 709.75 × 456.44
  4. Step 4: Simplify right side
    476.92x = 323,958.29
  5. Step 5: Solve for x
    x = 323,958.29/476.92
  6. Step 6: Final answer
    x = 679.27

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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.