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Finding the Fourth Proportional to 505.74, 754.67 and 451.26

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Solution

The fourth proportional to 505.74, 754.67 and 451.26 is: 673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.74 : 754.67 = 451.26 : x
  2. Step 2: Convert to fraction form
    505.74/754.67 = 451.26/x
  3. Step 3: Cross multiply
    505.74x = 754.67 × 451.26
  4. Step 4: Simplify right side
    505.74x = 340,550.13
  5. Step 5: Solve for x
    x = 340,550.13/505.74
  6. Step 6: Final answer
    x = 673.37

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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.