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Finding the Fourth Proportional to 449.68, 619.14 and 394.10

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Solution

The fourth proportional to 449.68, 619.14 and 394.10 is: 542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.68 : 619.14 = 394.10 : x
  2. Step 2: Convert to fraction form
    449.68/619.14 = 394.10/x
  3. Step 3: Cross multiply
    449.68x = 619.14 × 394.10
  4. Step 4: Simplify right side
    449.68x = 244,003.07
  5. Step 5: Solve for x
    x = 244,003.07/449.68
  6. Step 6: Final answer
    x = 542.61

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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.