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Finding the Fourth Proportional to 509.09, 701.06 and 443.48

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Solution

The fourth proportional to 509.09, 701.06 and 443.48 is: 610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.09 : 701.06 = 443.48 : x
  2. Step 2: Convert to fraction form
    509.09/701.06 = 443.48/x
  3. Step 3: Cross multiply
    509.09x = 701.06 × 443.48
  4. Step 4: Simplify right side
    509.09x = 310,900.37
  5. Step 5: Solve for x
    x = 310,900.37/509.09
  6. Step 6: Final answer
    x = 610.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.