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Finding the Fourth Proportional to 1,311.60, 1,967.22 and 520.96

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Solution

The fourth proportional to 1,311.60, 1,967.22 and 520.96 is: 781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.60 : 1,967.22 = 520.96 : x
  2. Step 2: Convert to fraction form
    1,311.60/1,967.22 = 520.96/x
  3. Step 3: Cross multiply
    1,311.60x = 1,967.22 × 520.96
  4. Step 4: Simplify right side
    1,311.60x = 1,024,842.93
  5. Step 5: Solve for x
    x = 1,024,842.93/1,311.60
  6. Step 6: Final answer
    x = 781.37

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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.