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Finding the Fourth Proportional to 589.14, 878.56 and 516.35

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Solution

The fourth proportional to 589.14, 878.56 and 516.35 is: 770.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.14 : 878.56 = 516.35 : x
  2. Step 2: Convert to fraction form
    589.14/878.56 = 516.35/x
  3. Step 3: Cross multiply
    589.14x = 878.56 × 516.35
  4. Step 4: Simplify right side
    589.14x = 453,644.46
  5. Step 5: Solve for x
    x = 453,644.46/589.14
  6. Step 6: Final answer
    x = 770.02

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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.