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Finding the Fourth Proportional to 789.96, 1,090.14 and 431.05

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Solution

The fourth proportional to 789.96, 1,090.14 and 431.05 is: 594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.96 : 1,090.14 = 431.05 : x
  2. Step 2: Convert to fraction form
    789.96/1,090.14 = 431.05/x
  3. Step 3: Cross multiply
    789.96x = 1,090.14 × 431.05
  4. Step 4: Simplify right side
    789.96x = 469,902.55
  5. Step 5: Solve for x
    x = 469,902.55/789.96
  6. Step 6: Final answer
    x = 594.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.