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Finding the Fourth Proportional to 581.72, 873.17 and 516.26

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Solution

The fourth proportional to 581.72, 873.17 and 516.26 is: 774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.72 : 873.17 = 516.26 : x
  2. Step 2: Convert to fraction form
    581.72/873.17 = 516.26/x
  3. Step 3: Cross multiply
    581.72x = 873.17 × 516.26
  4. Step 4: Simplify right side
    581.72x = 450,782.33
  5. Step 5: Solve for x
    x = 450,782.33/581.72
  6. Step 6: Final answer
    x = 774.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.