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Finding the Fourth Proportional to 581.58, 871.83 and 350.19

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Solution

The fourth proportional to 581.58, 871.83 and 350.19 is: 524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.58 : 871.83 = 350.19 : x
  2. Step 2: Convert to fraction form
    581.58/871.83 = 350.19/x
  3. Step 3: Cross multiply
    581.58x = 871.83 × 350.19
  4. Step 4: Simplify right side
    581.58x = 305,306.15
  5. Step 5: Solve for x
    x = 305,306.15/581.58
  6. Step 6: Final answer
    x = 524.96

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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.