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Finding the Fourth Proportional to 455.86, 625.01 and 447.64

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Solution

The fourth proportional to 455.86, 625.01 and 447.64 is: 613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.86 : 625.01 = 447.64 : x
  2. Step 2: Convert to fraction form
    455.86/625.01 = 447.64/x
  3. Step 3: Cross multiply
    455.86x = 625.01 × 447.64
  4. Step 4: Simplify right side
    455.86x = 279,779.48
  5. Step 5: Solve for x
    x = 279,779.48/455.86
  6. Step 6: Final answer
    x = 613.74

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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.