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Finding the Fourth Proportional to 509.03, 705.67 and 481.31

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Solution

The fourth proportional to 509.03, 705.67 and 481.31 is: 667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.03 : 705.67 = 481.31 : x
  2. Step 2: Convert to fraction form
    509.03/705.67 = 481.31/x
  3. Step 3: Cross multiply
    509.03x = 705.67 × 481.31
  4. Step 4: Simplify right side
    509.03x = 339,646.03
  5. Step 5: Solve for x
    x = 339,646.03/509.03
  6. Step 6: Final answer
    x = 667.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.