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Finding the Fourth Proportional to 622.77, 938.38 and 516.93

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Solution

The fourth proportional to 622.77, 938.38 and 516.93 is: 778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.77 : 938.38 = 516.93 : x
  2. Step 2: Convert to fraction form
    622.77/938.38 = 516.93/x
  3. Step 3: Cross multiply
    622.77x = 938.38 × 516.93
  4. Step 4: Simplify right side
    622.77x = 485,075.48
  5. Step 5: Solve for x
    x = 485,075.48/622.77
  6. Step 6: Final answer
    x = 778.90

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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.