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Finding the Fourth Proportional to 516.46, 711.55 and 423.21

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Solution

The fourth proportional to 516.46, 711.55 and 423.21 is: 583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.46 : 711.55 = 423.21 : x
  2. Step 2: Convert to fraction form
    516.46/711.55 = 423.21/x
  3. Step 3: Cross multiply
    516.46x = 711.55 × 423.21
  4. Step 4: Simplify right side
    516.46x = 301,135.08
  5. Step 5: Solve for x
    x = 301,135.08/516.46
  6. Step 6: Final answer
    x = 583.08

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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.