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Finding the Fourth Proportional to 845.39, 1,166.55 and 513.77

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Solution

The fourth proportional to 845.39, 1,166.55 and 513.77 is: 708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.39 : 1,166.55 = 513.77 : x
  2. Step 2: Convert to fraction form
    845.39/1,166.55 = 513.77/x
  3. Step 3: Cross multiply
    845.39x = 1,166.55 × 513.77
  4. Step 4: Simplify right side
    845.39x = 599,338.39
  5. Step 5: Solve for x
    x = 599,338.39/845.39
  6. Step 6: Final answer
    x = 708.95

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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.