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Finding the Fourth Proportional to 478.61, 716.88 and 396.09

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Solution

The fourth proportional to 478.61, 716.88 and 396.09 is: 593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.61 : 716.88 = 396.09 : x
  2. Step 2: Convert to fraction form
    478.61/716.88 = 396.09/x
  3. Step 3: Cross multiply
    478.61x = 716.88 × 396.09
  4. Step 4: Simplify right side
    478.61x = 283,949.00
  5. Step 5: Solve for x
    x = 283,949.00/478.61
  6. Step 6: Final answer
    x = 593.28

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Why These Related Problems?

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