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Finding the Fourth Proportional to 518.64, 716.32 and 421.44

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Solution

The fourth proportional to 518.64, 716.32 and 421.44 is: 582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.64 : 716.32 = 421.44 : x
  2. Step 2: Convert to fraction form
    518.64/716.32 = 421.44/x
  3. Step 3: Cross multiply
    518.64x = 716.32 × 421.44
  4. Step 4: Simplify right side
    518.64x = 301,885.90
  5. Step 5: Solve for x
    x = 301,885.90/518.64
  6. Step 6: Final answer
    x = 582.07

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Why These Related Problems?

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