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Finding the Fourth Proportional to 455.86, 625.30 and 451.97

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Solution

The fourth proportional to 455.86, 625.30 and 451.97 is: 619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.86 : 625.30 = 451.97 : x
  2. Step 2: Convert to fraction form
    455.86/625.30 = 451.97/x
  3. Step 3: Cross multiply
    455.86x = 625.30 × 451.97
  4. Step 4: Simplify right side
    455.86x = 282,616.84
  5. Step 5: Solve for x
    x = 282,616.84/455.86
  6. Step 6: Final answer
    x = 619.96

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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.