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Finding the Fourth Proportional to 457.86, 627.76 and 449.64

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Solution

The fourth proportional to 457.86, 627.76 and 449.64 is: 616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.86 : 627.76 = 449.64 : x
  2. Step 2: Convert to fraction form
    457.86/627.76 = 449.64/x
  3. Step 3: Cross multiply
    457.86x = 627.76 × 449.64
  4. Step 4: Simplify right side
    457.86x = 282,266.01
  5. Step 5: Solve for x
    x = 282,266.01/457.86
  6. Step 6: Final answer
    x = 616.49

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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.