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Finding the Fourth Proportional to 789.40, 1,177.23 and 674.58

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Solution

The fourth proportional to 789.40, 1,177.23 and 674.58 is: 1,006.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.40 : 1,177.23 = 674.58 : x
  2. Step 2: Convert to fraction form
    789.40/1,177.23 = 674.58/x
  3. Step 3: Cross multiply
    789.40x = 1,177.23 × 674.58
  4. Step 4: Simplify right side
    789.40x = 794,136.14
  5. Step 5: Solve for x
    x = 794,136.14/789.40
  6. Step 6: Final answer
    x = 1,006.01

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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.