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Finding the Fourth Proportional to 521.94, 720.69 and 323.07

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Solution

The fourth proportional to 521.94, 720.69 and 323.07 is: 446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.94 : 720.69 = 323.07 : x
  2. Step 2: Convert to fraction form
    521.94/720.69 = 323.07/x
  3. Step 3: Cross multiply
    521.94x = 720.69 × 323.07
  4. Step 4: Simplify right side
    521.94x = 232,833.32
  5. Step 5: Solve for x
    x = 232,833.32/521.94
  6. Step 6: Final answer
    x = 446.09

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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.