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Finding the Fourth Proportional to 498.24, 685.44 and 381.60

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Solution

The fourth proportional to 498.24, 685.44 and 381.60 is: 524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 685.44 = 381.60 : x
  2. Step 2: Convert to fraction form
    498.24/685.44 = 381.60/x
  3. Step 3: Cross multiply
    498.24x = 685.44 × 381.60
  4. Step 4: Simplify right side
    498.24x = 261,563.90
  5. Step 5: Solve for x
    x = 261,563.90/498.24
  6. Step 6: Final answer
    x = 524.98

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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.