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Finding the Fourth Proportional to 563.20, 845.70 and 381.40

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Solution

The fourth proportional to 563.20, 845.70 and 381.40 is: 572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.20 : 845.70 = 381.40 : x
  2. Step 2: Convert to fraction form
    563.20/845.70 = 381.40/x
  3. Step 3: Cross multiply
    563.20x = 845.70 × 381.40
  4. Step 4: Simplify right side
    563.20x = 322,549.98
  5. Step 5: Solve for x
    x = 322,549.98/563.20
  6. Step 6: Final answer
    x = 572.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.