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Finding the Fourth Proportional to 427.81, 593.10 and 412.80

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Solution

The fourth proportional to 427.81, 593.10 and 412.80 is: 572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.81 : 593.10 = 412.80 : x
  2. Step 2: Convert to fraction form
    427.81/593.10 = 412.80/x
  3. Step 3: Cross multiply
    427.81x = 593.10 × 412.80
  4. Step 4: Simplify right side
    427.81x = 244,831.68
  5. Step 5: Solve for x
    x = 244,831.68/427.81
  6. Step 6: Final answer
    x = 572.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.