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Finding the Fourth Proportional to 503.70, 754.72 and 484.48

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Solution

The fourth proportional to 503.70, 754.72 and 484.48 is: 725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.70 : 754.72 = 484.48 : x
  2. Step 2: Convert to fraction form
    503.70/754.72 = 484.48/x
  3. Step 3: Cross multiply
    503.70x = 754.72 × 484.48
  4. Step 4: Simplify right side
    503.70x = 365,646.75
  5. Step 5: Solve for x
    x = 365,646.75/503.70
  6. Step 6: Final answer
    x = 725.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.