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Finding the Fourth Proportional to 449.08, 616.20 and 436.84

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Solution

The fourth proportional to 449.08, 616.20 and 436.84 is: 599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.08 : 616.20 = 436.84 : x
  2. Step 2: Convert to fraction form
    449.08/616.20 = 436.84/x
  3. Step 3: Cross multiply
    449.08x = 616.20 × 436.84
  4. Step 4: Simplify right side
    449.08x = 269,180.81
  5. Step 5: Solve for x
    x = 269,180.81/449.08
  6. Step 6: Final answer
    x = 599.41

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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.