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Finding the Fourth Proportional to 789.41, 1,089.25 and 554.08

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Solution

The fourth proportional to 789.41, 1,089.25 and 554.08 is: 764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.41 : 1,089.25 = 554.08 : x
  2. Step 2: Convert to fraction form
    789.41/1,089.25 = 554.08/x
  3. Step 3: Cross multiply
    789.41x = 1,089.25 × 554.08
  4. Step 4: Simplify right side
    789.41x = 603,528.87
  5. Step 5: Solve for x
    x = 603,528.87/789.41
  6. Step 6: Final answer
    x = 764.53

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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.