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Finding the Fourth Proportional to 503.48, 755.90 and 320.42

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Solution

The fourth proportional to 503.48, 755.90 and 320.42 is: 481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.48 : 755.90 = 320.42 : x
  2. Step 2: Convert to fraction form
    503.48/755.90 = 320.42/x
  3. Step 3: Cross multiply
    503.48x = 755.90 × 320.42
  4. Step 4: Simplify right side
    503.48x = 242,205.48
  5. Step 5: Solve for x
    x = 242,205.48/503.48
  6. Step 6: Final answer
    x = 481.06

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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.