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Finding the Fourth Proportional to 516.30, 772.91 and 340.80

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Solution

The fourth proportional to 516.30, 772.91 and 340.80 is: 510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.30 : 772.91 = 340.80 : x
  2. Step 2: Convert to fraction form
    516.30/772.91 = 340.80/x
  3. Step 3: Cross multiply
    516.30x = 772.91 × 340.80
  4. Step 4: Simplify right side
    516.30x = 263,407.73
  5. Step 5: Solve for x
    x = 263,407.73/516.30
  6. Step 6: Final answer
    x = 510.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.