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Finding the Fourth Proportional to 793.21, 1,185.05 and 777.01

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Solution

The fourth proportional to 793.21, 1,185.05 and 777.01 is: 1,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.21 : 1,185.05 = 777.01 : x
  2. Step 2: Convert to fraction form
    793.21/1,185.05 = 777.01/x
  3. Step 3: Cross multiply
    793.21x = 1,185.05 × 777.01
  4. Step 4: Simplify right side
    793.21x = 920,795.70
  5. Step 5: Solve for x
    x = 920,795.70/793.21
  6. Step 6: Final answer
    x = 1,160.85

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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.