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Finding the Fourth Proportional to 588.54, 878.43 and 505.92

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Solution

The fourth proportional to 588.54, 878.43 and 505.92 is: 755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.54 : 878.43 = 505.92 : x
  2. Step 2: Convert to fraction form
    588.54/878.43 = 505.92/x
  3. Step 3: Cross multiply
    588.54x = 878.43 × 505.92
  4. Step 4: Simplify right side
    588.54x = 444,415.31
  5. Step 5: Solve for x
    x = 444,415.31/588.54
  6. Step 6: Final answer
    x = 755.11

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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.