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Finding the Fourth Proportional to 793.65, 1,189.38 and 504.57

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Solution

The fourth proportional to 793.65, 1,189.38 and 504.57 is: 756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.65 : 1,189.38 = 504.57 : x
  2. Step 2: Convert to fraction form
    793.65/1,189.38 = 504.57/x
  3. Step 3: Cross multiply
    793.65x = 1,189.38 × 504.57
  4. Step 4: Simplify right side
    793.65x = 600,125.47
  5. Step 5: Solve for x
    x = 600,125.47/793.65
  6. Step 6: Final answer
    x = 756.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.