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Finding the Fourth Proportional to 409.08, 564 and 377.82

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Solution

The fourth proportional to 409.08, 564 and 377.82 is: 520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.08 : 564 = 377.82 : x
  2. Step 2: Convert to fraction form
    409.08/564 = 377.82/x
  3. Step 3: Cross multiply
    409.08x = 564 × 377.82
  4. Step 4: Simplify right side
    409.08x = 213,090.48
  5. Step 5: Solve for x
    x = 213,090.48/409.08
  6. Step 6: Final answer
    x = 520.90

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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.