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Finding the Fourth Proportional to 518.67, 716.72 and 493.36

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Solution

The fourth proportional to 518.67, 716.72 and 493.36 is: 681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.67 : 716.72 = 493.36 : x
  2. Step 2: Convert to fraction form
    518.67/716.72 = 493.36/x
  3. Step 3: Cross multiply
    518.67x = 716.72 × 493.36
  4. Step 4: Simplify right side
    518.67x = 353,596.72
  5. Step 5: Solve for x
    x = 353,596.72/518.67
  6. Step 6: Final answer
    x = 681.74

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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.