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Finding the Fourth Proportional to 521.94, 720.48 and 322.80

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Solution

The fourth proportional to 521.94, 720.48 and 322.80 is: 445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.94 : 720.48 = 322.80 : x
  2. Step 2: Convert to fraction form
    521.94/720.48 = 322.80/x
  3. Step 3: Cross multiply
    521.94x = 720.48 × 322.80
  4. Step 4: Simplify right side
    521.94x = 232,570.94
  5. Step 5: Solve for x
    x = 232,570.94/521.94
  6. Step 6: Final answer
    x = 445.59

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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.