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Finding the Fourth Proportional to 1,243.64, 1,865.86 and 513.56

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Solution

The fourth proportional to 1,243.64, 1,865.86 and 513.56 is: 770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.64 : 1,865.86 = 513.56 : x
  2. Step 2: Convert to fraction form
    1,243.64/1,865.86 = 513.56/x
  3. Step 3: Cross multiply
    1,243.64x = 1,865.86 × 513.56
  4. Step 4: Simplify right side
    1,243.64x = 958,231.06
  5. Step 5: Solve for x
    x = 958,231.06/1,243.64
  6. Step 6: Final answer
    x = 770.51

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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.