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Finding the Fourth Proportional to 520.09, 716.96 and 372.47

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Solution

The fourth proportional to 520.09, 716.96 and 372.47 is: 513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.09 : 716.96 = 372.47 : x
  2. Step 2: Convert to fraction form
    520.09/716.96 = 372.47/x
  3. Step 3: Cross multiply
    520.09x = 716.96 × 372.47
  4. Step 4: Simplify right side
    520.09x = 267,046.09
  5. Step 5: Solve for x
    x = 267,046.09/520.09
  6. Step 6: Final answer
    x = 513.46

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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.