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Finding the Fourth Proportional to 456.07, 625.27 and 447.87

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Solution

The fourth proportional to 456.07, 625.27 and 447.87 is: 614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.07 : 625.27 = 447.87 : x
  2. Step 2: Convert to fraction form
    456.07/625.27 = 447.87/x
  3. Step 3: Cross multiply
    456.07x = 625.27 × 447.87
  4. Step 4: Simplify right side
    456.07x = 280,039.67
  5. Step 5: Solve for x
    x = 280,039.67/456.07
  6. Step 6: Final answer
    x = 614.03

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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.