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Finding the Fourth Proportional to 516.49, 712.79 and 320.02

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Solution

The fourth proportional to 516.49, 712.79 and 320.02 is: 441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.49 : 712.79 = 320.02 : x
  2. Step 2: Convert to fraction form
    516.49/712.79 = 320.02/x
  3. Step 3: Cross multiply
    516.49x = 712.79 × 320.02
  4. Step 4: Simplify right side
    516.49x = 228,107.06
  5. Step 5: Solve for x
    x = 228,107.06/516.49
  6. Step 6: Final answer
    x = 441.65

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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.