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Finding the Fourth Proportional to 516.99, 713.70 and 412.03

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Solution

The fourth proportional to 516.99, 713.70 and 412.03 is: 568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.99 : 713.70 = 412.03 : x
  2. Step 2: Convert to fraction form
    516.99/713.70 = 412.03/x
  3. Step 3: Cross multiply
    516.99x = 713.70 × 412.03
  4. Step 4: Simplify right side
    516.99x = 294,064.03
  5. Step 5: Solve for x
    x = 294,064.03/516.99
  6. Step 6: Final answer
    x = 568.80

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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.