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Finding the Fourth Proportional to 520.25, 718.04 and 323.74

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Solution

The fourth proportional to 520.25, 718.04 and 323.74 is: 446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.25 : 718.04 = 323.74 : x
  2. Step 2: Convert to fraction form
    520.25/718.04 = 323.74/x
  3. Step 3: Cross multiply
    520.25x = 718.04 × 323.74
  4. Step 4: Simplify right side
    520.25x = 232,453.06
  5. Step 5: Solve for x
    x = 232,453.06/520.25
  6. Step 6: Final answer
    x = 446.81

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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.