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Finding the Fourth Proportional to 410.73, 567.36 and 381.57

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Solution

The fourth proportional to 410.73, 567.36 and 381.57 is: 527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.73 : 567.36 = 381.57 : x
  2. Step 2: Convert to fraction form
    410.73/567.36 = 381.57/x
  3. Step 3: Cross multiply
    410.73x = 567.36 × 381.57
  4. Step 4: Simplify right side
    410.73x = 216,487.56
  5. Step 5: Solve for x
    x = 216,487.56/410.73
  6. Step 6: Final answer
    x = 527.08

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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.