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Finding the Fourth Proportional to 789.41, 1,089.38 and 435.32

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Solution

The fourth proportional to 789.41, 1,089.38 and 435.32 is: 600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.41 : 1,089.38 = 435.32 : x
  2. Step 2: Convert to fraction form
    789.41/1,089.38 = 435.32/x
  3. Step 3: Cross multiply
    789.41x = 1,089.38 × 435.32
  4. Step 4: Simplify right side
    789.41x = 474,228.90
  5. Step 5: Solve for x
    x = 474,228.90/789.41
  6. Step 6: Final answer
    x = 600.74

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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.