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Finding the Fourth Proportional to 604.92, 832.24 and 473.68

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Solution

The fourth proportional to 604.92, 832.24 and 473.68 is: 651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.92 : 832.24 = 473.68 : x
  2. Step 2: Convert to fraction form
    604.92/832.24 = 473.68/x
  3. Step 3: Cross multiply
    604.92x = 832.24 × 473.68
  4. Step 4: Simplify right side
    604.92x = 394,215.44
  5. Step 5: Solve for x
    x = 394,215.44/604.92
  6. Step 6: Final answer
    x = 651.68

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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.