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Finding the Fourth Proportional to 585.78, 874.34 and 516.60

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Solution

The fourth proportional to 585.78, 874.34 and 516.60 is: 771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.78 : 874.34 = 516.60 : x
  2. Step 2: Convert to fraction form
    585.78/874.34 = 516.60/x
  3. Step 3: Cross multiply
    585.78x = 874.34 × 516.60
  4. Step 4: Simplify right side
    585.78x = 451,688.76
  5. Step 5: Solve for x
    x = 451,688.76/585.78
  6. Step 6: Final answer
    x = 771.09

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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.