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Finding the Fourth Proportional to 516.22, 707.77 and 506.98

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Solution

The fourth proportional to 516.22, 707.77 and 506.98 is: 695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.22 : 707.77 = 506.98 : x
  2. Step 2: Convert to fraction form
    516.22/707.77 = 506.98/x
  3. Step 3: Cross multiply
    516.22x = 707.77 × 506.98
  4. Step 4: Simplify right side
    516.22x = 358,822.70
  5. Step 5: Solve for x
    x = 358,822.70/516.22
  6. Step 6: Final answer
    x = 695.10

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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.