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Finding the Fourth Proportional to 521.80, 716.24 and 461.46

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Solution

The fourth proportional to 521.80, 716.24 and 461.46 is: 633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.80 : 716.24 = 461.46 : x
  2. Step 2: Convert to fraction form
    521.80/716.24 = 461.46/x
  3. Step 3: Cross multiply
    521.80x = 716.24 × 461.46
  4. Step 4: Simplify right side
    521.80x = 330,519.95
  5. Step 5: Solve for x
    x = 330,519.95/521.80
  6. Step 6: Final answer
    x = 633.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.