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Finding the Fourth Proportional to 516.45, 777.49 and 471.09

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Solution

The fourth proportional to 516.45, 777.49 and 471.09 is: 709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.45 : 777.49 = 471.09 : x
  2. Step 2: Convert to fraction form
    516.45/777.49 = 471.09/x
  3. Step 3: Cross multiply
    516.45x = 777.49 × 471.09
  4. Step 4: Simplify right side
    516.45x = 366,267.76
  5. Step 5: Solve for x
    x = 366,267.76/516.45
  6. Step 6: Final answer
    x = 709.20

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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.