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Finding the Fourth Proportional to 516.87, 771.51 and 473.58

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Solution

The fourth proportional to 516.87, 771.51 and 473.58 is: 706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.87 : 771.51 = 473.58 : x
  2. Step 2: Convert to fraction form
    516.87/771.51 = 473.58/x
  3. Step 3: Cross multiply
    516.87x = 771.51 × 473.58
  4. Step 4: Simplify right side
    516.87x = 365,371.71
  5. Step 5: Solve for x
    x = 365,371.71/516.87
  6. Step 6: Final answer
    x = 706.89

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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.