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Finding the Fourth Proportional to 804.96, 1,198.77 and 777.62

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Solution

The fourth proportional to 804.96, 1,198.77 and 777.62 is: 1,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.96 : 1,198.77 = 777.62 : x
  2. Step 2: Convert to fraction form
    804.96/1,198.77 = 777.62/x
  3. Step 3: Cross multiply
    804.96x = 1,198.77 × 777.62
  4. Step 4: Simplify right side
    804.96x = 932,187.53
  5. Step 5: Solve for x
    x = 932,187.53/804.96
  6. Step 6: Final answer
    x = 1,158.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.