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Finding the Fourth Proportional to 516.45, 712.74 and 295.42

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Solution

The fourth proportional to 516.45, 712.74 and 295.42 is: 407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.45 : 712.74 = 295.42 : x
  2. Step 2: Convert to fraction form
    516.45/712.74 = 295.42/x
  3. Step 3: Cross multiply
    516.45x = 712.74 × 295.42
  4. Step 4: Simplify right side
    516.45x = 210,557.65
  5. Step 5: Solve for x
    x = 210,557.65/516.45
  6. Step 6: Final answer
    x = 407.70

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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.