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Finding the Fourth Proportional to 503.54, 753.60 and 381.12

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Solution

The fourth proportional to 503.54, 753.60 and 381.12 is: 570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.54 : 753.60 = 381.12 : x
  2. Step 2: Convert to fraction form
    503.54/753.60 = 381.12/x
  3. Step 3: Cross multiply
    503.54x = 753.60 × 381.12
  4. Step 4: Simplify right side
    503.54x = 287,212.03
  5. Step 5: Solve for x
    x = 287,212.03/503.54
  6. Step 6: Final answer
    x = 570.39

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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.