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Finding the Fourth Proportional to 793.76, 1,189.72 and 427.78

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Solution

The fourth proportional to 793.76, 1,189.72 and 427.78 is: 641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.76 : 1,189.72 = 427.78 : x
  2. Step 2: Convert to fraction form
    793.76/1,189.72 = 427.78/x
  3. Step 3: Cross multiply
    793.76x = 1,189.72 × 427.78
  4. Step 4: Simplify right side
    793.76x = 508,938.42
  5. Step 5: Solve for x
    x = 508,938.42/793.76
  6. Step 6: Final answer
    x = 641.17

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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.