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Finding the Fourth Proportional to 586.56, 878.42 and 342.36

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Solution

The fourth proportional to 586.56, 878.42 and 342.36 is: 512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.56 : 878.42 = 342.36 : x
  2. Step 2: Convert to fraction form
    586.56/878.42 = 342.36/x
  3. Step 3: Cross multiply
    586.56x = 878.42 × 342.36
  4. Step 4: Simplify right side
    586.56x = 300,735.87
  5. Step 5: Solve for x
    x = 300,735.87/586.56
  6. Step 6: Final answer
    x = 512.71

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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.