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Finding the Fourth Proportional to 503.50, 749.93 and 481.01

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Solution

The fourth proportional to 503.50, 749.93 and 481.01 is: 716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.50 : 749.93 = 481.01 : x
  2. Step 2: Convert to fraction form
    503.50/749.93 = 481.01/x
  3. Step 3: Cross multiply
    503.50x = 749.93 × 481.01
  4. Step 4: Simplify right side
    503.50x = 360,720.08
  5. Step 5: Solve for x
    x = 360,720.08/503.50
  6. Step 6: Final answer
    x = 716.43

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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.