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Finding the Fourth Proportional to 455.53, 681.75 and 382.49

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Solution

The fourth proportional to 455.53, 681.75 and 382.49 is: 572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.53 : 681.75 = 382.49 : x
  2. Step 2: Convert to fraction form
    455.53/681.75 = 382.49/x
  3. Step 3: Cross multiply
    455.53x = 681.75 × 382.49
  4. Step 4: Simplify right side
    455.53x = 260,757.24
  5. Step 5: Solve for x
    x = 260,757.24/455.53
  6. Step 6: Final answer
    x = 572.43

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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.