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Finding the Fourth Proportional to 799.74, 1,191.35 and 775.56

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Solution

The fourth proportional to 799.74, 1,191.35 and 775.56 is: 1,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.74 : 1,191.35 = 775.56 : x
  2. Step 2: Convert to fraction form
    799.74/1,191.35 = 775.56/x
  3. Step 3: Cross multiply
    799.74x = 1,191.35 × 775.56
  4. Step 4: Simplify right side
    799.74x = 923,959.53
  5. Step 5: Solve for x
    x = 923,959.53/799.74
  6. Step 6: Final answer
    x = 1,155.32

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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.