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Finding the Fourth Proportional to 499.12, 688.08 and 382.48

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Solution

The fourth proportional to 499.12, 688.08 and 382.48 is: 527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.12 : 688.08 = 382.48 : x
  2. Step 2: Convert to fraction form
    499.12/688.08 = 382.48/x
  3. Step 3: Cross multiply
    499.12x = 688.08 × 382.48
  4. Step 4: Simplify right side
    499.12x = 263,176.84
  5. Step 5: Solve for x
    x = 263,176.84/499.12
  6. Step 6: Final answer
    x = 527.28

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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.