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Finding the Fourth Proportional to 498.72, 688 and 324

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Solution

The fourth proportional to 498.72, 688 and 324 is: 446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.72 : 688 = 324 : x
  2. Step 2: Convert to fraction form
    498.72/688 = 324/x
  3. Step 3: Cross multiply
    498.72x = 688 × 324
  4. Step 4: Simplify right side
    498.72x = 222,912
  5. Step 5: Solve for x
    x = 222,912/498.72
  6. Step 6: Final answer
    x = 446.97

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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.