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Finding the Fourth Proportional to 2,311.67, 3,467.53 and 580.30

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Solution

The fourth proportional to 2,311.67, 3,467.53 and 580.30 is: 870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.67 : 3,467.53 = 580.30 : x
  2. Step 2: Convert to fraction form
    2,311.67/3,467.53 = 580.30/x
  3. Step 3: Cross multiply
    2,311.67x = 3,467.53 × 580.30
  4. Step 4: Simplify right side
    2,311.67x = 2,012,207.66
  5. Step 5: Solve for x
    x = 2,012,207.66/2,311.67
  6. Step 6: Final answer
    x = 870.46

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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.