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Finding the Fourth Proportional to 550.88, 830.52 and 516.80

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Solution

The fourth proportional to 550.88, 830.52 and 516.80 is: 779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.88 : 830.52 = 516.80 : x
  2. Step 2: Convert to fraction form
    550.88/830.52 = 516.80/x
  3. Step 3: Cross multiply
    550.88x = 830.52 × 516.80
  4. Step 4: Simplify right side
    550.88x = 429,212.74
  5. Step 5: Solve for x
    x = 429,212.74/550.88
  6. Step 6: Final answer
    x = 779.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.