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Finding the Fourth Proportional to 449.72, 616.95 and 445.46

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Solution

The fourth proportional to 449.72, 616.95 and 445.46 is: 611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.72 : 616.95 = 445.46 : x
  2. Step 2: Convert to fraction form
    449.72/616.95 = 445.46/x
  3. Step 3: Cross multiply
    449.72x = 616.95 × 445.46
  4. Step 4: Simplify right side
    449.72x = 274,828.92
  5. Step 5: Solve for x
    x = 274,828.92/449.72
  6. Step 6: Final answer
    x = 611.12

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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.