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Finding the Fourth Proportional to 506.80, 699.96 and 451.54

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Solution

The fourth proportional to 506.80, 699.96 and 451.54 is: 623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.80 : 699.96 = 451.54 : x
  2. Step 2: Convert to fraction form
    506.80/699.96 = 451.54/x
  3. Step 3: Cross multiply
    506.80x = 699.96 × 451.54
  4. Step 4: Simplify right side
    506.80x = 316,059.94
  5. Step 5: Solve for x
    x = 316,059.94/506.80
  6. Step 6: Final answer
    x = 623.64

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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.