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Finding the Fourth Proportional to 789.35, 1,089.65 and 579.15

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Solution

The fourth proportional to 789.35, 1,089.65 and 579.15 is: 799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.35 : 1,089.65 = 579.15 : x
  2. Step 2: Convert to fraction form
    789.35/1,089.65 = 579.15/x
  3. Step 3: Cross multiply
    789.35x = 1,089.65 × 579.15
  4. Step 4: Simplify right side
    789.35x = 631,072.25
  5. Step 5: Solve for x
    x = 631,072.25/789.35
  6. Step 6: Final answer
    x = 799.49

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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.