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Finding the Fourth Proportional to 790.99, 1,186.49 and 518.81

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Solution

The fourth proportional to 790.99, 1,186.49 and 518.81 is: 778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.99 : 1,186.49 = 518.81 : x
  2. Step 2: Convert to fraction form
    790.99/1,186.49 = 518.81/x
  3. Step 3: Cross multiply
    790.99x = 1,186.49 × 518.81
  4. Step 4: Simplify right side
    790.99x = 615,562.88
  5. Step 5: Solve for x
    x = 615,562.88/790.99
  6. Step 6: Final answer
    x = 778.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.