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Finding the Fourth Proportional to 793.47, 1,187.81 and 427.15

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Solution

The fourth proportional to 793.47, 1,187.81 and 427.15 is: 639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.47 : 1,187.81 = 427.15 : x
  2. Step 2: Convert to fraction form
    793.47/1,187.81 = 427.15/x
  3. Step 3: Cross multiply
    793.47x = 1,187.81 × 427.15
  4. Step 4: Simplify right side
    793.47x = 507,373.05
  5. Step 5: Solve for x
    x = 507,373.05/793.47
  6. Step 6: Final answer
    x = 639.43

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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.