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Finding the Fourth Proportional to 523.78, 779.82 and 516.51

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Solution

The fourth proportional to 523.78, 779.82 and 516.51 is: 769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.78 : 779.82 = 516.51 : x
  2. Step 2: Convert to fraction form
    523.78/779.82 = 516.51/x
  3. Step 3: Cross multiply
    523.78x = 779.82 × 516.51
  4. Step 4: Simplify right side
    523.78x = 402,784.83
  5. Step 5: Solve for x
    x = 402,784.83/523.78
  6. Step 6: Final answer
    x = 769.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.