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Finding the Fourth Proportional to 1,314.60, 1,814.40 and 843.18

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Solution

The fourth proportional to 1,314.60, 1,814.40 and 843.18 is: 1,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.60 : 1,814.40 = 843.18 : x
  2. Step 2: Convert to fraction form
    1,314.60/1,814.40 = 843.18/x
  3. Step 3: Cross multiply
    1,314.60x = 1,814.40 × 843.18
  4. Step 4: Simplify right side
    1,314.60x = 1,529,865.79
  5. Step 5: Solve for x
    x = 1,529,865.79/1,314.60
  6. Step 6: Final answer
    x = 1,163.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.