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Finding the Fourth Proportional to 585.59, 874.10 and 516.39

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Solution

The fourth proportional to 585.59, 874.10 and 516.39 is: 770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.59 : 874.10 = 516.39 : x
  2. Step 2: Convert to fraction form
    585.59/874.10 = 516.39/x
  3. Step 3: Cross multiply
    585.59x = 874.10 × 516.39
  4. Step 4: Simplify right side
    585.59x = 451,373.92
  5. Step 5: Solve for x
    x = 451,373.92/585.59
  6. Step 6: Final answer
    x = 770.80

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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.