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Finding the Fourth Proportional to 447.56, 614.33 and 397.32

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Solution

The fourth proportional to 447.56, 614.33 and 397.32 is: 545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.56 : 614.33 = 397.32 : x
  2. Step 2: Convert to fraction form
    447.56/614.33 = 397.32/x
  3. Step 3: Cross multiply
    447.56x = 614.33 × 397.32
  4. Step 4: Simplify right side
    447.56x = 244,085.60
  5. Step 5: Solve for x
    x = 244,085.60/447.56
  6. Step 6: Final answer
    x = 545.37

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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.