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Finding the Fourth Proportional to 409.86, 564.30 and 389.34

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Solution

The fourth proportional to 409.86, 564.30 and 389.34 is: 536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.86 : 564.30 = 389.34 : x
  2. Step 2: Convert to fraction form
    409.86/564.30 = 389.34/x
  3. Step 3: Cross multiply
    409.86x = 564.30 × 389.34
  4. Step 4: Simplify right side
    409.86x = 219,704.56
  5. Step 5: Solve for x
    x = 219,704.56/409.86
  6. Step 6: Final answer
    x = 536.05

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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.