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Finding the Fourth Proportional to 487.96, 730.32 and 304.96

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Solution

The fourth proportional to 487.96, 730.32 and 304.96 is: 456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.96 : 730.32 = 304.96 : x
  2. Step 2: Convert to fraction form
    487.96/730.32 = 304.96/x
  3. Step 3: Cross multiply
    487.96x = 730.32 × 304.96
  4. Step 4: Simplify right side
    487.96x = 222,718.39
  5. Step 5: Solve for x
    x = 222,718.39/487.96
  6. Step 6: Final answer
    x = 456.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.