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Finding the Fourth Proportional to 449.47, 618.58 and 380.44

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Solution

The fourth proportional to 449.47, 618.58 and 380.44 is: 523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.47 : 618.58 = 380.44 : x
  2. Step 2: Convert to fraction form
    449.47/618.58 = 380.44/x
  3. Step 3: Cross multiply
    449.47x = 618.58 × 380.44
  4. Step 4: Simplify right side
    449.47x = 235,332.58
  5. Step 5: Solve for x
    x = 235,332.58/449.47
  6. Step 6: Final answer
    x = 523.58

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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.