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Finding the Fourth Proportional to 496.08, 684.72 and 398.16

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Solution

The fourth proportional to 496.08, 684.72 and 398.16 is: 549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.08 : 684.72 = 398.16 : x
  2. Step 2: Convert to fraction form
    496.08/684.72 = 398.16/x
  3. Step 3: Cross multiply
    496.08x = 684.72 × 398.16
  4. Step 4: Simplify right side
    496.08x = 272,628.12
  5. Step 5: Solve for x
    x = 272,628.12/496.08
  6. Step 6: Final answer
    x = 549.56

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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.