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Finding the Fourth Proportional to 516.07, 712.09 and 294.98

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Solution

The fourth proportional to 516.07, 712.09 and 294.98 is: 407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.07 : 712.09 = 294.98 : x
  2. Step 2: Convert to fraction form
    516.07/712.09 = 294.98/x
  3. Step 3: Cross multiply
    516.07x = 712.09 × 294.98
  4. Step 4: Simplify right side
    516.07x = 210,049.12
  5. Step 5: Solve for x
    x = 210,049.12/516.07
  6. Step 6: Final answer
    x = 407.02

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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.