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Finding the Fourth Proportional to 580.21, 869.70 and 360.83

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Solution

The fourth proportional to 580.21, 869.70 and 360.83 is: 540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.21 : 869.70 = 360.83 : x
  2. Step 2: Convert to fraction form
    580.21/869.70 = 360.83/x
  3. Step 3: Cross multiply
    580.21x = 869.70 × 360.83
  4. Step 4: Simplify right side
    580.21x = 313,813.85
  5. Step 5: Solve for x
    x = 313,813.85/580.21
  6. Step 6: Final answer
    x = 540.86

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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.