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Finding the Fourth Proportional to 789.07, 1,088.91 and 439.75

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Solution

The fourth proportional to 789.07, 1,088.91 and 439.75 is: 606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.07 : 1,088.91 = 439.75 : x
  2. Step 2: Convert to fraction form
    789.07/1,088.91 = 439.75/x
  3. Step 3: Cross multiply
    789.07x = 1,088.91 × 439.75
  4. Step 4: Simplify right side
    789.07x = 478,845.97
  5. Step 5: Solve for x
    x = 478,845.97/789.07
  6. Step 6: Final answer
    x = 606.85

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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.