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Finding the Fourth Proportional to 484.43, 725.70 and 322.16

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Solution

The fourth proportional to 484.43, 725.70 and 322.16 is: 482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.43 : 725.70 = 322.16 : x
  2. Step 2: Convert to fraction form
    484.43/725.70 = 322.16/x
  3. Step 3: Cross multiply
    484.43x = 725.70 × 322.16
  4. Step 4: Simplify right side
    484.43x = 233,791.51
  5. Step 5: Solve for x
    x = 233,791.51/484.43
  6. Step 6: Final answer
    x = 482.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.