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Finding the Fourth Proportional to 516.45, 711.81 and 350.58

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Solution

The fourth proportional to 516.45, 711.81 and 350.58 is: 483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.45 : 711.81 = 350.58 : x
  2. Step 2: Convert to fraction form
    516.45/711.81 = 350.58/x
  3. Step 3: Cross multiply
    516.45x = 711.81 × 350.58
  4. Step 4: Simplify right side
    516.45x = 249,546.35
  5. Step 5: Solve for x
    x = 249,546.35/516.45
  6. Step 6: Final answer
    x = 483.20

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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.