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Finding the Fourth Proportional to 862.63, 1,190.78 and 513.25

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Solution

The fourth proportional to 862.63, 1,190.78 and 513.25 is: 708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.63 : 1,190.78 = 513.25 : x
  2. Step 2: Convert to fraction form
    862.63/1,190.78 = 513.25/x
  3. Step 3: Cross multiply
    862.63x = 1,190.78 × 513.25
  4. Step 4: Simplify right side
    862.63x = 611,165.27
  5. Step 5: Solve for x
    x = 611,165.27/862.63
  6. Step 6: Final answer
    x = 708.49

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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.