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Finding the Fourth Proportional to 516.92, 770.87 and 488.16

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Solution

The fourth proportional to 516.92, 770.87 and 488.16 is: 727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.92 : 770.87 = 488.16 : x
  2. Step 2: Convert to fraction form
    516.92/770.87 = 488.16/x
  3. Step 3: Cross multiply
    516.92x = 770.87 × 488.16
  4. Step 4: Simplify right side
    516.92x = 376,307.90
  5. Step 5: Solve for x
    x = 376,307.90/516.92
  6. Step 6: Final answer
    x = 727.98

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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.