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Finding the Fourth Proportional to 516.90, 711.99 and 423.30

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Solution

The fourth proportional to 516.90, 711.99 and 423.30 is: 583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.90 : 711.99 = 423.30 : x
  2. Step 2: Convert to fraction form
    516.90/711.99 = 423.30/x
  3. Step 3: Cross multiply
    516.90x = 711.99 × 423.30
  4. Step 4: Simplify right side
    516.90x = 301,385.37
  5. Step 5: Solve for x
    x = 301,385.37/516.90
  6. Step 6: Final answer
    x = 583.06

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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.