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Finding the Fourth Proportional to 588.10, 879.87 and 505.18

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Solution

The fourth proportional to 588.10, 879.87 and 505.18 is: 755.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.10 : 879.87 = 505.18 : x
  2. Step 2: Convert to fraction form
    588.10/879.87 = 505.18/x
  3. Step 3: Cross multiply
    588.10x = 879.87 × 505.18
  4. Step 4: Simplify right side
    588.10x = 444,492.73
  5. Step 5: Solve for x
    x = 444,492.73/588.10
  6. Step 6: Final answer
    x = 755.81

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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.