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Finding the Fourth Proportional to 518.98, 716.30 and 322.58

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Solution

The fourth proportional to 518.98, 716.30 and 322.58 is: 445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.98 : 716.30 = 322.58 : x
  2. Step 2: Convert to fraction form
    518.98/716.30 = 322.58/x
  3. Step 3: Cross multiply
    518.98x = 716.30 × 322.58
  4. Step 4: Simplify right side
    518.98x = 231,064.05
  5. Step 5: Solve for x
    x = 231,064.05/518.98
  6. Step 6: Final answer
    x = 445.23

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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.