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Finding the Fourth Proportional to 449.06, 616.27 and 437.44

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Solution

The fourth proportional to 449.06, 616.27 and 437.44 is: 600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.06 : 616.27 = 437.44 : x
  2. Step 2: Convert to fraction form
    449.06/616.27 = 437.44/x
  3. Step 3: Cross multiply
    449.06x = 616.27 × 437.44
  4. Step 4: Simplify right side
    449.06x = 269,580.24
  5. Step 5: Solve for x
    x = 269,580.24/449.06
  6. Step 6: Final answer
    x = 600.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.