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Finding the Fourth Proportional to 397.56, 593.69 and 393.27

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Solution

The fourth proportional to 397.56, 593.69 and 393.27 is: 587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.56 : 593.69 = 393.27 : x
  2. Step 2: Convert to fraction form
    397.56/593.69 = 393.27/x
  3. Step 3: Cross multiply
    397.56x = 593.69 × 393.27
  4. Step 4: Simplify right side
    397.56x = 233,479.87
  5. Step 5: Solve for x
    x = 233,479.87/397.56
  6. Step 6: Final answer
    x = 587.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.