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Finding the Fourth Proportional to 476.69, 656.82 and 451.98

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Solution

The fourth proportional to 476.69, 656.82 and 451.98 is: 622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.69 : 656.82 = 451.98 : x
  2. Step 2: Convert to fraction form
    476.69/656.82 = 451.98/x
  3. Step 3: Cross multiply
    476.69x = 656.82 × 451.98
  4. Step 4: Simplify right side
    476.69x = 296,869.50
  5. Step 5: Solve for x
    x = 296,869.50/476.69
  6. Step 6: Final answer
    x = 622.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.