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Finding the Fourth Proportional to 498.36, 688.62 and 382.92

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Solution

The fourth proportional to 498.36, 688.62 and 382.92 is: 529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.36 : 688.62 = 382.92 : x
  2. Step 2: Convert to fraction form
    498.36/688.62 = 382.92/x
  3. Step 3: Cross multiply
    498.36x = 688.62 × 382.92
  4. Step 4: Simplify right side
    498.36x = 263,686.37
  5. Step 5: Solve for x
    x = 263,686.37/498.36
  6. Step 6: Final answer
    x = 529.11

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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.