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Finding the Fourth Proportional to 516.52, 778.51 and 485.08

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Solution

The fourth proportional to 516.52, 778.51 and 485.08 is: 731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.52 : 778.51 = 485.08 : x
  2. Step 2: Convert to fraction form
    516.52/778.51 = 485.08/x
  3. Step 3: Cross multiply
    516.52x = 778.51 × 485.08
  4. Step 4: Simplify right side
    516.52x = 377,639.63
  5. Step 5: Solve for x
    x = 377,639.63/516.52
  6. Step 6: Final answer
    x = 731.12

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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.