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Finding the Fourth Proportional to 516.69, 714.17 and 434.99

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Solution

The fourth proportional to 516.69, 714.17 and 434.99 is: 601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.69 : 714.17 = 434.99 : x
  2. Step 2: Convert to fraction form
    516.69/714.17 = 434.99/x
  3. Step 3: Cross multiply
    516.69x = 714.17 × 434.99
  4. Step 4: Simplify right side
    516.69x = 310,651.06
  5. Step 5: Solve for x
    x = 310,651.06/516.69
  6. Step 6: Final answer
    x = 601.23

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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.