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Finding the Fourth Proportional to 845.20, 1,166.50 and 513.82

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Solution

The fourth proportional to 845.20, 1,166.50 and 513.82 is: 709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.20 : 1,166.50 = 513.82 : x
  2. Step 2: Convert to fraction form
    845.20/1,166.50 = 513.82/x
  3. Step 3: Cross multiply
    845.20x = 1,166.50 × 513.82
  4. Step 4: Simplify right side
    845.20x = 599,371.03
  5. Step 5: Solve for x
    x = 599,371.03/845.20
  6. Step 6: Final answer
    x = 709.15

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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.