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Finding the Fourth Proportional to 503.63, 751.99 and 451.23

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Solution

The fourth proportional to 503.63, 751.99 and 451.23 is: 673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.63 : 751.99 = 451.23 : x
  2. Step 2: Convert to fraction form
    503.63/751.99 = 451.23/x
  3. Step 3: Cross multiply
    503.63x = 751.99 × 451.23
  4. Step 4: Simplify right side
    503.63x = 339,321.58
  5. Step 5: Solve for x
    x = 339,321.58/503.63
  6. Step 6: Final answer
    x = 673.76

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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.