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Finding the Fourth Proportional to 503.70, 756.39 and 380.31

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Solution

The fourth proportional to 503.70, 756.39 and 380.31 is: 571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.70 : 756.39 = 380.31 : x
  2. Step 2: Convert to fraction form
    503.70/756.39 = 380.31/x
  3. Step 3: Cross multiply
    503.70x = 756.39 × 380.31
  4. Step 4: Simplify right side
    503.70x = 287,661.27
  5. Step 5: Solve for x
    x = 287,661.27/503.70
  6. Step 6: Final answer
    x = 571.10

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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.