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Finding the Fourth Proportional to 516.62, 713.90 and 392.04

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Solution

The fourth proportional to 516.62, 713.90 and 392.04 is: 541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.62 : 713.90 = 392.04 : x
  2. Step 2: Convert to fraction form
    516.62/713.90 = 392.04/x
  3. Step 3: Cross multiply
    516.62x = 713.90 × 392.04
  4. Step 4: Simplify right side
    516.62x = 279,875.40
  5. Step 5: Solve for x
    x = 279,875.40/516.62
  6. Step 6: Final answer
    x = 541.75

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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.