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Finding the Fourth Proportional to 804.45, 1,198.03 and 777.12

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Solution

The fourth proportional to 804.45, 1,198.03 and 777.12 is: 1,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.45 : 1,198.03 = 777.12 : x
  2. Step 2: Convert to fraction form
    804.45/1,198.03 = 777.12/x
  3. Step 3: Cross multiply
    804.45x = 1,198.03 × 777.12
  4. Step 4: Simplify right side
    804.45x = 931,013.07
  5. Step 5: Solve for x
    x = 931,013.07/804.45
  6. Step 6: Final answer
    x = 1,157.33

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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.