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Finding the Fourth Proportional to 498.96, 688.42 and 322

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Solution

The fourth proportional to 498.96, 688.42 and 322 is: 444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.96 : 688.42 = 322 : x
  2. Step 2: Convert to fraction form
    498.96/688.42 = 322/x
  3. Step 3: Cross multiply
    498.96x = 688.42 × 322
  4. Step 4: Simplify right side
    498.96x = 221,671.24
  5. Step 5: Solve for x
    x = 221,671.24/498.96
  6. Step 6: Final answer
    x = 444.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.