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Finding the Fourth Proportional to 427.21, 589.14 and 395.77

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Solution

The fourth proportional to 427.21, 589.14 and 395.77 is: 545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.21 : 589.14 = 395.77 : x
  2. Step 2: Convert to fraction form
    427.21/589.14 = 395.77/x
  3. Step 3: Cross multiply
    427.21x = 589.14 × 395.77
  4. Step 4: Simplify right side
    427.21x = 233,162.46
  5. Step 5: Solve for x
    x = 233,162.46/427.21
  6. Step 6: Final answer
    x = 545.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.