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Finding the Fourth Proportional to 516.78, 708.89 and 505.98

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Solution

The fourth proportional to 516.78, 708.89 and 505.98 is: 694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.78 : 708.89 = 505.98 : x
  2. Step 2: Convert to fraction form
    516.78/708.89 = 505.98/x
  3. Step 3: Cross multiply
    516.78x = 708.89 × 505.98
  4. Step 4: Simplify right side
    516.78x = 358,681.63
  5. Step 5: Solve for x
    x = 358,681.63/516.78
  6. Step 6: Final answer
    x = 694.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.