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Finding the Fourth Proportional to 449.69, 616.55 and 444.15

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Solution

The fourth proportional to 449.69, 616.55 and 444.15 is: 608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.69 : 616.55 = 444.15 : x
  2. Step 2: Convert to fraction form
    449.69/616.55 = 444.15/x
  3. Step 3: Cross multiply
    449.69x = 616.55 × 444.15
  4. Step 4: Simplify right side
    449.69x = 273,838.46
  5. Step 5: Solve for x
    x = 273,838.46/449.69
  6. Step 6: Final answer
    x = 608.96

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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.