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Finding the Fourth Proportional to 516.70, 714.18 and 492.40

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Solution

The fourth proportional to 516.70, 714.18 and 492.40 is: 680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.70 : 714.18 = 492.40 : x
  2. Step 2: Convert to fraction form
    516.70/714.18 = 492.40/x
  3. Step 3: Cross multiply
    516.70x = 714.18 × 492.40
  4. Step 4: Simplify right side
    516.70x = 351,662.23
  5. Step 5: Solve for x
    x = 351,662.23/516.70
  6. Step 6: Final answer
    x = 680.59

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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.