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Finding the Fourth Proportional to 793.47, 1,189.89 and 306.25

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Solution

The fourth proportional to 793.47, 1,189.89 and 306.25 is: 459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.47 : 1,189.89 = 306.25 : x
  2. Step 2: Convert to fraction form
    793.47/1,189.89 = 306.25/x
  3. Step 3: Cross multiply
    793.47x = 1,189.89 × 306.25
  4. Step 4: Simplify right side
    793.47x = 364,403.81
  5. Step 5: Solve for x
    x = 364,403.81/793.47
  6. Step 6: Final answer
    x = 459.25

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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.