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Finding the Fourth Proportional to 789.23, 1,174.84 and 777.56

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Solution

The fourth proportional to 789.23, 1,174.84 and 777.56 is: 1,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.23 : 1,174.84 = 777.56 : x
  2. Step 2: Convert to fraction form
    789.23/1,174.84 = 777.56/x
  3. Step 3: Cross multiply
    789.23x = 1,174.84 × 777.56
  4. Step 4: Simplify right side
    789.23x = 913,500.77
  5. Step 5: Solve for x
    x = 913,500.77/789.23
  6. Step 6: Final answer
    x = 1,157.45

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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.