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Finding the Fourth Proportional to 498.72, 688.44 and 382.32

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Solution

The fourth proportional to 498.72, 688.44 and 382.32 is: 527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.72 : 688.44 = 382.32 : x
  2. Step 2: Convert to fraction form
    498.72/688.44 = 382.32/x
  3. Step 3: Cross multiply
    498.72x = 688.44 × 382.32
  4. Step 4: Simplify right side
    498.72x = 263,204.38
  5. Step 5: Solve for x
    x = 263,204.38/498.72
  6. Step 6: Final answer
    x = 527.76

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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.